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April 20, 2014

Search: Calculus (Derivatives of Inverse Functions)

Number of results: 32,561

Calculus (Derivatives of Inverse Functions)
Suppose f(x) = sin(pi cos(x)). On any interval where the inverse function y = f^-1(x) exists, the derivative of f^-1(x) with respect to x is: I've come as far as y = arccos ((arcsin(x))/pi), but I am not certain this is right.
Thursday, March 15, 2012 at 11:35am by Mooch

Pre Calculus
Inverse functions what is the inverse function of f(x)=1/square root of x +1? and f(x)=1-x^2, x<0?
Sunday, October 23, 2011 at 1:38am by Josh

Calculus
F(x) = 1-x and g(x) = 1/x These functions have the property that f = f^-1(inverse) and g = g ^-1. That is, the inverse of f is equal to itself and the inverse of g is also equal to itself. Take the composition of each function with itself to show that this is true. Remember, ...
Friday, September 23, 2011 at 6:37pm by Scooby16

calculus
Find the derivatives of the functions k(x)=(x^3+e^x)^4
Monday, February 11, 2013 at 9:27pm by Joe

Calculus-Inverse Functions
is the inverse function of x+ floor(x) equal to x - floor (x/2) i got this after plotting points but i'm not sure. thank you
Sunday, March 31, 2013 at 4:09pm by Matthew

Math - Inverse Functions
Find the inverses of the following functions. y = 3(x - 1)^2, x >= 1 Work: x = 3(y - 1)^2 x = 3(y - 1)(y - 1) x = 3(y^2 - y - y + 1) x = 3y^2 - 6y + 3 And now what do I do!? Please explain and show me how to solve this inverse function! ... Thank you
Thursday, January 10, 2008 at 7:33pm by Anonymous

derivatives
The derivatives of these trig functions should be right there in your Calculus text. for the second of your questions, I will use y' for the first derivative and y" for the second derivative i.e. y'= dy/dx 1+y=x+xy so y' = 1 + y + xy' y'(1-x) = 1+y y' = (1+y)/(1-x) y" = [(1-x)...
Wednesday, October 31, 2007 at 10:34pm by Reiny

algebra
0ne example of importance is inverse trigonometric functions, which often appear in the solution to physical problems and in integral calculus. Another example is e^x, the inverse function of ln(x). Knowing the inverse function is also useful when one must solve many times for...
Saturday, December 26, 2009 at 11:59pm by drwls

Alegbra
1. Correct 2. The inverse of (x-2)/2 is f^-1(x) = 2x -2 f and g are inverse functions 5. If f(x) = y, x = (y+3)^(1/4) f^-1(x) = (x+3)^(1/4) That one has no inverse listed. If h(x)= x^4 + 3 y = x^4 +3 (y-3)^(1/4) = x h^-1(x) = (x-3)^(1/4) This may be the same as g(x), but I ...
Friday, September 14, 2007 at 11:37pm by drwls

graph!
how can the graph of f(x)= X^2-4X be used to obtain the graph of y=g(x) ?????? don't know can you help me out? What is g(x)? The inverse function of f(x)? http://www.uncwil.edu/courses/mat111hb/functions/inverse/inverse.html
Monday, September 4, 2006 at 9:29pm by kris!

calculus - derivatives
can you please find the first 5 derivatives for: f(x) = (0.5e^x)-(0.5e^-x) f'(x) = ? f''(x) = ? f'''(x) = ? f''''(x) = ? f'''''(x) = ? thanks :) f(x) = (0.5e^x)-(0.5e^-x) f'(x) = 0.5 e^x + 0.5 e^-x f''(x) = 0.5 e^x - 0.5 e^-x f'''(x) = 0.5 e^x + 0.5 e^-x f''''(x) = 0.5 e^x - 0...
Monday, July 30, 2007 at 6:15pm by COFFEE

Math (Ms. Sue Please Help)
You have to be careful with the term inverse funtion.That is not the same as reciprocal. if f(x)=3x=y then the inverse can be found this way: y=3x x=3y y=x/3 or f^-1(x)=x/3 check: inverse(function)must equal x so f^-1 (f)= 3(x/3)=x so in fact it is the inverse. So false. Go ...
Monday, September 12, 2011 at 8:39pm by bobpursley

Calculus
[Inverse Functions] f(x)= 5cos(x)sin^(-1)(x) f'(x)=?
Wednesday, October 7, 2009 at 4:03pm by Z32

Pre-calculus
What is the inverse function of these functions? f(x)= 1/x^2-1 f(x)= x 2/3-3
Monday, June 27, 2011 at 12:04pm by Keila

Calculus
Find the outside and inside functions of the following to find their derivatives: 1) sqrt(2x+9) 2) cos(cos(x)) 3) tan(x) I already know how to find their derivatives I'm just not exactly sure what parts of the chain rule equation would be considered the outside and inside.
Tuesday, June 18, 2013 at 2:41pm by Robin

Calculus (Derivatives of Inverse Functions)
your expression for y is right. so, Let u = 1/pi arcsinx (arccos u)' = -1/sqrt(1-u^2) u' = -1/sqrt(1-u^2) * 1/pi * 1/sqrt(1-x^2) = - 1/sqrt(1- 1/pi^2 (arcsinx)^2) * 1/pi * 1/sqrt(1-x^2) = - 1/[sqrt(pi^2 - (arcsinx)^2)*sqrt(1-x^2)] yummm! gotta love it!
Thursday, March 15, 2012 at 11:35am by Steve

math
x^3 has an inverse, as does x^4 x<=0 Why? The others do not have a one for one mapping from x to one f(x). for instance, x^4 f(-sqrt2)=f(sqrt2) http://www.uncwil.edu/courses/mat111hb/functions/inverse/inverse.html#sec1
Monday, December 15, 2008 at 3:57pm by bobpursley

Pre-Calculus
Find the inverse function for the function f(x)=2^(x)+1/2^(x)-1 You will need to use some properties of logarithmic functions to find the inverse of this particular function.
Tuesday, April 30, 2013 at 2:12pm by Thomas

Calculus: Derivatives
I'm having trouble understanding what derivatives in calculus (instantaneous speed) is. Can someone please explain it to me, or provide some easy links to learn from? Thanks!
Sunday, September 9, 2007 at 8:32pm by Joe

Calculus
If you want the derivative of the equation you have shown, you should look at the product rule for derivatives. Break this into two functions.
Thursday, October 4, 2007 at 2:35pm by Quidditch

Calculus III
Derivative of Inverse Trigonometric Functions f(x) = sin(arccos(4x)) What is f'(x)?
Tuesday, January 22, 2008 at 4:26pm by Sean

Calculus III
Derivative of Inverse Trigonometric Functions f(x) = cos(arcsin(2x)) What is f'(x)?
Tuesday, January 22, 2008 at 9:08pm by Sean

CALCULUS
show that f(x) = x^2-1 (x is greater than and equal to 0) and g(x) = root(x-1) (x is greater than and equal to -1) are inverse functions. when i try f(g(x)) = x and g(f(x)) = x to show that the two functions are inverses it doesn't work because i am not left with x when i ...
Sunday, February 15, 2009 at 9:05pm by joey

Calculus
find the derivatives of the given functions. g(t)=sqrt t(1+t)/t^2 the sqrt is just over t.
Monday, February 4, 2013 at 9:18pm by Mike

Calculus
Find the first and second derivatives of the given functions. y=(x+1) y'=x(x+1)^(-1/2) y"=[1(x+1)^(-1/2)]-[(1/2)[(x+1)^(-3/2)](2x)(x)] y"=[(x+1)^(-1/2)]-[(x)(x+1)^(-3/2)] Is the second derivative right?
Tuesday, November 10, 2009 at 5:43pm by sh

trig
any calculus text will list the trig functions and their derivatives.
Thursday, January 19, 2012 at 8:45am by Steve

Math - Inverse Functions
x = 3(y - 1)^2 would be the inverse but you forgot the second part, y>=1
Thursday, January 10, 2008 at 7:33pm by Damon

Functions
Since h(x) is not 1-1, it has no inverse for instance, h(x) = 2 has three solutions, so there is no inverse there.
Friday, October 5, 2012 at 3:43pm by Steve

Inverse functions
Solve for y to determine the inverse y=2-(1/2x)
Friday, July 23, 2010 at 3:22pm by Nada

Calculus
Integrate [1/square root of(e^(2x)-1)]. I have to use u substitution. We are doing the integrals of inverse trig functions, but I cannot get it to work out!
Sunday, February 5, 2012 at 10:43pm by Elaine

Inverse Functions
Given that g is the inverse function of f, and f(3)=4, and f'(3)=5, then g'(4)= ?
Tuesday, June 5, 2012 at 6:42pm by Ellen

AP calculus BC
1. THey are right. 2. How can you remember? Flash cards. 3. I dont like that rule, complicated. I just recommend memorizing the derivatives, when that is done, the inverse operation is easy. Flash cards.
Wednesday, October 27, 2010 at 5:27pm by bobpursley

Pre-Calculus/Calculus
Ok. An inverse function is formed from switch in the input and output variables(x,y). so y = 3x -1 flip x = 3y-1 and solve for y again x+1=3y y = 1/3(x+1) so f^-1(x) = 1/3(x+1) and the inverse of an inverse function is the original equation: f(x) = 3x-1
Tuesday, July 1, 2008 at 10:38pm by Bryan

Pre Calculus
Inverse functions find the value If f(x)=1/x, find f^-1 (2)
Saturday, October 22, 2011 at 7:57pm by Josh

Algebra
Use composition of functions to show that the functions f(x) = 5x + 7 and g(x)= 1/5x-7/5 are inverse functions. That is, carefully show that (fog)(x)= x and (gof)(x)= x.
Wednesday, July 29, 2009 at 3:30am by Alicia

calculus
invertiable: it has an inverse Give the derivative of the inverse function at x=2 That is the problem. The work is finding the inverse function.
Wednesday, January 12, 2011 at 9:38pm by bobpursley

inverse functions
1-3cos=sin squared You need to define the variables, such as x, y etc. If you are trying to solve 1 - 3 cos x = sin^2 x for whatever x is, then you are not talking about an inverse function.
Monday, February 26, 2007 at 9:24pm by fiza

Calculus
We're learning about different kinds of functions and I don't really understand the difference between rational and algebraic functions. I know that rational functions are functions that are a ratio of two polynomials, and algebraic functions are any functions that can be made...
Thursday, September 13, 2007 at 11:09am by Kelly

Algebra
How do you find the inverse of functions? for example how would you find the inverse of y= log8 x
Sunday, May 1, 2011 at 11:45am by Kenya

calculus
find the second-order partial derivatives of f(x,y)=x^3 + x^2y^2 + y^3 + x+y and show that the mixed partial derivatives fxy and fyx are equal
Wednesday, March 7, 2012 at 11:06am by maggie

calculus
find the second-order partial derivatives of f(x,y)=x^3 + x^2y^2 + y^3 + x+y and show that the mixed partial derivatives fxy and fyx are equal
Wednesday, March 7, 2012 at 11:10am by maggie

differential calculus
surely your text has a table of derivatives of trig functions. This is such a basic question, you could have looked up the answer in less time than typing in the question. d/dx (sin x) = cos x Is there more to this than first appears?
Wednesday, June 26, 2013 at 8:34am by Steve

Calculus
Find the derivatives, dy/dx for the following functions. a. x^2y^4 = lnx + 3y b. y = ln(2x^2 + 1) c. y = ln(x) d. y = lnx/x e. y = x^2 lnx f. y log_2⁡(3x)
Tuesday, April 16, 2013 at 5:19pm by Tima

End behavior models
Thanks for the help with my previous problems Roger & Leo. It was really helpful. Now I want to know how to find the right and left end behavior models and horizontal tangents for the inverse functions, say y = tan inverse(x) I have to do this for all functions, but at least ...
Friday, October 20, 2006 at 1:53pm by Jen

Trigonometry
Having trouble with true/false questions in Trigonometry. They read as follows - True or False: For a trigonometric function, y=f(x), then x=F^-1(y). Explain your answer. True or False: For a one to one function, y=f(x), then x=f^-1(y). Explain your answer. True or False: For ...
Thursday, March 24, 2011 at 2:46pm by Veronica

Trigonometry
Having trouble with true/false questions in Trigonometry. They read as follows - True or False: For a trigonometric function, y=f(x), then x=F^-1(y). Explain your answer. True or False: For a one to one function, y=f(x), then x=f^-1(y). Explain your answer. True or False: For ...
Thursday, March 24, 2011 at 3:03pm by Veronica

Algebra 2
Are the functions f and g inverse functions if f(x)=5/3x+1 and g(x)=3(x-1)/5? I need all of the steps on how to determine this. I need this ASAP because this assignment is due tomorrow. Thanks
Wednesday, May 25, 2011 at 5:46pm by Brandon

math
consider the functions f(x)=x^3-2 and g(x)=3 sqrt x+2: a. find f(g(x)) b. find g(f(x)) c. determine whether the functions f and g are inverse of each other. I have no clue where to even begin!
Saturday, March 23, 2013 at 10:34am by marie

Algebra 2
Ok, so I'm trying to find the inverse of each function. We're learning about Inverse Functions and Relations. The problem is f(x)=sqr.root of x/6 The sqr root is confusing me.
Monday, September 17, 2012 at 6:46pm by claire

algebra
Can someone help with inverse relations and functions? is relation t a function? Is the inverse t a function? chart looks like: x 0 2 4 6 y -10 -1 4 8 If someone could please explain this problem
Monday, December 10, 2012 at 12:15am by lee

Calculus
solve this equation on the given interval expressing the solution for x in terms of inverse trigonometric functions. 6(cosx)^2-cosx-5=0 on (pie/2, pie)
Monday, October 10, 2011 at 9:32am by Josh

calculus
Find the inverse of the following function. Find the domain, range, and asymptotes of each function. Graph both functions on the same coordinate plane. f(x)=3+e^4−x
Friday, September 27, 2013 at 10:27am by Miriam

Calculus-Inverse Functions
Nope. f^-1 is the graph of f reflected through the line y=x. Visit http://rechneronline.de/function-graphs/ to plot your two functions. Note that floor(x) is called R0(x) there. There is an instructions button for help with function names. If you revise your definition a bit ...
Sunday, March 31, 2013 at 4:09pm by Steve

calculus
f(x)= 3x^7 +2x -9 If g(x)= f inverse of x and g(-4)= 1, what is g'(-4)? I know that f inverse is the same as 1/f'(x) but I'm not sure where to go from there.
Tuesday, February 21, 2012 at 11:32pm by k

calc
find the derivatives of the given functions. g(t)=sqrt t(1+t)/t^2
Tuesday, February 5, 2013 at 12:51am by Jake

Calculus
Does f(x)= 1 + cos(x), have an inverse or not, if so, what is the inverse? please explain.
Tuesday, February 15, 2011 at 2:07pm by Carrie

CALCULUS
They must not be inverse functions. f(x)=x^2-1 y+1=x^2 x= +- root (y+1) g(x)=+-root (x+1) lets try the + root f(g)=(x+1)-1=x g(f)=+root (X^2-1+1)=x
Sunday, February 15, 2009 at 9:05pm by bobpursley

pre calculus
If f and g are inverse functions and the point (-3, 5) is on the graph of f, then the point ____ is on the graph of g
Monday, October 10, 2011 at 1:26pm by vedo

math (repost)
pick any x perform the first operation perform the second operation on that answer. did I get back the original x ? cscx and sinx, cotx and tanx are reciprocal functions, not inverses my choices of inverse are: 1,2,4,6 (how did you figure #9 represents an inverse ???)
Thursday, April 16, 2009 at 9:02pm by Reiny

calculus (limits)
I do know how to take derivatives however the course I'm in hasn't taught them yet (long story) so I can't use derivatives in finding the solution; I have to factor. So perhaps a better question is: how do I factor the above expression in a way that will allow me to find the ...
Saturday, January 22, 2011 at 2:09pm by John

Calculus (Derivatives)
What is the derivative of the this functon? g(x) = -500/x, x cannot equal 0. I know that in order to fnd the derivative I need to put the function into the equation for evaluating derivatives as limits. lim as h -> 0 (f(x+h) - f(x))/h I did this, but I am having ...
Tuesday, November 1, 2011 at 2:37pm by Mishaka

Grade 12 Calculus
Determine the velocity and acceleration as functions of time, t, for s(t) = 45t − 5t^2, where s(t) represents the distance as a function of time. (Hint: velocity and acceleration correspond to the first and second derivatives of the distance)
Monday, April 15, 2013 at 6:44pm by alex

calculus (gr 12)
Determine the velocity and acceleration as functions of time, t, for s(t) = 45t − 5t^2, where s(t) represents the distance as a function of time. (Hint: velocity and acceleration correspond to the first and second derivatives of the distance)
Tuesday, April 16, 2013 at 12:16pm by Alexandra

calculus (gr 12)
Determine the velocity and acceleration as functions of time, t, for s(t) = 45t − 5t^2, where s(t) represents the distance as a function of time. (Hint: velocity and acceleration correspond to the first and second derivatives of the distance)
Wednesday, April 17, 2013 at 9:43pm by HELP MEE

pre calculus
Find the inverse of the following function. Find the domain, range, and asymptotes of each function. Graph both functions on the same coordinate plane. F(x)= ln(8-x) I am totally lost, somebody please help????
Wednesday, April 24, 2013 at 10:36pm by trish

math-Inverse functions
I am not going to do all of these but will show you how to do one. Your question is f(x) = x^2-1 what is the equation for f^-1(x)? f^-1(x) is called the inverse function of f(x). It is the function which gives you back "x" when you apply it to f(x) Let's call f(x) just y, to ...
Saturday, January 31, 2009 at 8:29pm by drwls

Trigonometry(please Clarify)
The confusion arose because the term inverse function has more than one meaning in mathematics. So there was an answer for each interpretation of the term. However, if you are in the process of studying inverse trigonometric functions, such as arc-sine, arc-cosines, etc, your ...
Friday, March 4, 2011 at 12:06am by MathMate

High School Pre Calculus
Do you know what the parent functions of y = sqrt(x) and y = x^3 look like? The functions f and g are simply those parent functions with a horizontal shift.
Saturday, January 16, 2010 at 8:02pm by Marth

convert derivatives of x,y,z, to r, Ɵ,z
convert derivatives of x,y,z, to r, Ɵ,z with chain rule? I want provment rules of converting rectangular derivatives to cylindrical derivatives and and also cylindrical to spherical.I know the rules but I cant prove EQUATIONS.thx alot
Thursday, December 1, 2011 at 2:58pm by parsa

math
I studied derivatives before, but kind of forgot them all, is there a website that gives me an overview of derivatives. What is first and second derivatives, how to find it, all the derivative rules and so on... thank you
Thursday, October 9, 2008 at 12:52am by Sam

Calculus
I have a two part question that pertains to a curve (r(x)) and its tangent line at x=3. We are given that at x=3, r(x)=8. In order to find the slope of the tangent line, we are given another point (on the tangent line): (3.2, 8.5). Therefore the slope of the tangent line at x=...
Tuesday, March 31, 2009 at 10:34pm by Lauren

pre calculus
Find the inverse of the function below. Graph the function below and the inverse. Determine the domain, range and asymptotes of the function below and the inverse function. Please show all your work. f(x) = 2e^-x + 5 Just looking at this gives me a headache. HELP!
Tuesday, December 20, 2011 at 8:10pm by Michelle

Very easy math
If x is some number and: x + y = 0 then y is called an inverse (w.r.t. addition) of x Then it follows from the same definition that x is an inverse of y. Now, what you need to prove is that inverses are unique. I.e. if for some given x x + y = 0 and also x + z = 0 you ...
Wednesday, September 2, 2009 at 1:39pm by Count Iblis

math
You also can in google type: derivatives online When you see listo of results click on: numberempirecom/derivatives.php and solvemymathcom/online_math_calculator/calculus/derivative_calculator/index.php On this sites you will see your derivation in two different simplify forms
Wednesday, February 16, 2011 at 8:05pm by Bosnian

math
Have you considered a Calculus Text? Even a review/study guide? Schuam's College Outline Series, College Calculus is very good. It is available at Barnes Noble. http://math2.org/math/derivatives.htm
Thursday, October 9, 2008 at 12:52am by bobpursley

Algebra
There will not be an inverse for this function. Not all functions have inverses. Notice f(x) is zero when x=anythign other than 2. So, the inverse (zero) cannot map back to a specific x. There has to be a one to one correspondence both ways x->y and y->x for inverses to ...
Saturday, April 23, 2011 at 9:10am by bobpursley

Math
B is indeed correct. If two functions are multiplicative inverses then that means that the product of the two functions equals 1. Note that cos^(-1) denotes the functional inverse of cos, so this not the same as 1/cos(x).
Sunday, March 8, 2009 at 12:51pm by Count Iblis

advanced functions/precalculus
1. Given f(x)=x^2 and g(x)=x+2, determine in standard form: a)g(f(x)) b)when f(g(x))=g(f(x)) for #1 would the answer for a be x^2+2? 2. Given the functions f(x)=5x+7 and g(x)=√x state the domain of g(x) and g(f(x)) 3. Why is point (a,a) a point on f-1(f(x)) if (a,b) is a...
Monday, January 13, 2014 at 9:35pm by Diane

Functions
What is the inverse of h(x)= (1/4x^2)+x ?
Friday, October 5, 2012 at 3:43pm by lola

Math - Derivatives
How would one take the derivative of "f(x)^[g(x)]? Is there a formula I can follow to differentiate functions like that?
Wednesday, January 28, 2009 at 5:30pm by Anonymous

Calculus, only two problems.
If g(x) is the inverse of f(x), g(x)=f^-1(x), such that g(3)=5 and f'(5)=4 what is the value of g'(3)????? :O 2. If g(x)is the inverse of f(x), g(x)=f^-1(x), such that f(3)=15,f(6)=3,f'(3)=-8,and f'(6)=-2. What is the value of g'(3)???????? Calculus--
Tuesday, March 23, 2010 at 10:16pm by JakeT

Math
The simplest way to determine if inverse f(-x) =-inverse f(x) is true for all values of x is to find out if f(x)=f(-x) for all values of x. Substitute sin(x) or cos(x) for f(x) above and do a little sketching of each of the two trigonometric functions between -pi and +pi. You ...
Monday, May 25, 2009 at 12:08pm by PC

Math / Inverse Functions
What textbook? :S
Wednesday, November 21, 2012 at 10:38pm by Steph

Math / Inverse Functions
... are you from UOIT?
Wednesday, November 21, 2012 at 10:38pm by Steph

Calculus (I Truly Need Help) Continued
From algebra, do you know how to find the inverse? The same method is used. Have you tried to find the inverse?
Tuesday, February 15, 2011 at 7:38pm by helper

Math / Inverse Functions
business algebra
Wednesday, November 21, 2012 at 10:38pm by Anonymous

Pre Calculus 12
From 1/5x = (y-3)^3 , which is the inverse and correct, you now have to solve for y So, take the cube root of both sides (x/5)^(1/3) = y-3 y = (x/5)^(1/3) + 3 check: in original let x = 4 y = 5(1)^3 = 5 now use x=5 in your inverse y = (5/5)^(1/3) + 3 = 4 , which is what we ...
Tuesday, January 22, 2013 at 9:27pm by Reiny

AP Calculus
#2, I would change (x^3-4)/ (x^2) to x - 4x^-2 and the integral of that is (1/2)x^2 + 4x^-1 + c check by differentiating my answer, it is right. #3, you had -cosx, how could you get the 3sinx from that? should have been -3cosx + c #4 if y = secx isn't y' = secxtanx ?? take ...
Thursday, January 22, 2009 at 8:13pm by Reiny

Algebra-Mathmate or Reiny or Dr. Bob, please check
correct, if you meant logb(x/y^2) F(x)=x^-1 is an inverse function, not an exponential function. Exponential functions are functions which can be written as f(x)=k e^ax for instance f(x)=3e^-5 or f(x)=12(1-e^(-4x) ) Can it be applied to g(x)=3 a^bx ? many people include this ...
Tuesday, December 14, 2010 at 11:49am by bobpursley

pre-cal
How do you work inverse functions alebraically?
Thursday, September 20, 2007 at 9:29pm by chris

trig
oh btw the last part is to to find if they are inverse functions
Wednesday, April 22, 2009 at 10:56pm by gab

calculus
f(x)=sqrt(x-2) what is the inverse of f? I got inverse f(x)= x^2+2 however, you need to specify the domain of x. the answer key says when x=>0 can you please explain why? I thought it would be when x=>2 ?
Wednesday, December 18, 2013 at 7:16pm by Anonymous

math-please I really need help!!!!!
Surely you mean f(x) = (2x+8)/(x+6) and g(x) = (6x-8)/(2-x) f(g(x)) = (2(6x-8)/(2-x) + 8)/((6x-8)/(2-x) + 6) multiply by (2-x)/(2-x) = (2(6x+8) + 8(2-x))/(6x-8 + 6(2-x)) = (12x-16 + 16 - 8x)/(6x-8 + 12 - 6x) = 4x/4 = x check: let x=4 g(x) = 16/-2 = -8 then f(g(4)) = f(-8) = (-...
Wednesday, January 9, 2013 at 6:01pm by Reiny

math
find the derivatives, dy/dx, for the following functions : y=(1+sin^2{2 exp (3x)})^5y please help me to solve this assignment. thank's
Monday, August 20, 2012 at 8:29am by deel

Trig (inverse functions)
I found my mistake, please disregard.
Monday, April 21, 2008 at 3:16pm by Dennis

math
verify that f and g are inverse functions. f(x) = 5x^2 x>(or equal too)0 g(x)= (x+2/5)^1/2
Wednesday, January 26, 2011 at 5:58pm by Amanda

College Algebra
verify that the functions of f and g are inverse of each other by showing that f(g(x))=x and g(f(x))=x; f(x)=In(x-1),g(x)=1+e^x
Sunday, January 1, 2012 at 6:01pm by Jennifer

pre calculus
your given function is y = 2e^-x + 5 to form the inverse, interchange the x and y variables, so the inverse is x = 2e^-y + 5 the inverse graph will be a reflection of the original graph in the line y = x Pick a few ordered pairs of the original function, e.g. (0,7), (1, 5.7...
Tuesday, December 20, 2011 at 8:10pm by Reiny

Calculus
a. The conditions that f(x) must satisfy to have an inverse is: 1. f(x) must be a function 2. f(x) must be onto, i.e. ∀x ∈ dom f(x), f(x)=f(x1) <=> x=x1 condition 2 implies that f(x) must be strictly increasing or strictly decreasing. This can be satisfied if...
Friday, August 31, 2012 at 10:35am by MathMate

Calculus grade 12
a) determine the derivative of y = sin2x b) determine the derivative of y = 2SinxCosx c) shoe that derivatives in parts a) and b) are equal d) explain why derivatives in parts a) and be should be equal.
Thursday, April 12, 2012 at 12:31am by Julie

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