December 7, 2016

Search: Maths Derivatives & Calulus

Number of results: 9,980

Maths Derivatives & Calulus
1) Find d^2y / dx^2 given that y^3 - x^2 = 4 2)If y = xª + ( 1 / xª ) , prove that x^2 . y'' + xy' – a^2 . y = 0 3) Find dy/dx for the following function. cos ( x - y ) = ( y ) ( 2x + 1 ) ^3 4)Find the values of A and B that make f(x) differentiable at x = 0 f(x) = A + 2x...
October 21, 2011 by Yousef

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
December 1, 2011 by parsa

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
October 9, 2008 by Sam

Maths Derivatives
If y = x ^ n + ( 1 / x ^ n ) prove that ( x^2y'' ) + ( xy' ) - ( n^2y ) = 0
October 25, 2011 by Yousef

Find the derivatives of these: f(x)=√
November 13, 2012 by alexis

if f(x)=x^3+5x, then f'(2)= if f(x)=cos(2x), then f'(pi/4) derivatives and anti derivatives please help
March 23, 2010 by AdrianV

find the maximum valu of any of the function without using derivatives 16x+8x+7
June 26, 2014 by sandeep

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
March 7, 2012 by maggie

Math - Calculus 1
Approximate using derivatives. (Must show work using derivatives!) Do not use a calculator: (1.1)^4 - (1.1)^2
October 7, 2016 by James

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!
September 9, 2007 by Joe

lim tanx - x x->0 x^2
August 15, 2010 by Lereesa

math question from applications of the derivatives. maths formula: V = 4/3(pi)r^3 dV = 4(pi)(3r^2) = 4(pi)r^2 But I don't understanding that how to get (3r^2) ?
December 18, 2014 by Maths Learner

Calulus 2
Solve the differential equation: dy/dx = y^2 + y
October 30, 2012 by Heather

At what interval is 2x^3+0x^2-54x+6 increasing?
May 2, 2013 by Lauren

Pre calulus only 15 min left HELP!
((ln(x))^1/2)/(ln(x^1/2))=6 solve for x
March 3, 2013 by tyler

Fundamental Theorem of Calculus 1. (4e^x-3)dx plus the number in x (6,1)
December 11, 2015 by Daniel

Find the derivatives of these: f(x)=(√(x))sinPix Also: f(x)=√(Cosx+sinx) Steps would be greatly helpful as I will be able to use them as reference. Thank you.
November 13, 2012 by Alexis

[(5.2)^x (5.2)^-7]/(5.2)^-5 That whole thing is (5.2)^9 But I have no idea how to find the exponent x?
March 24, 2009 by Callie

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 ...
November 1, 2011 by Mishaka

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...
July 30, 2007 by COFFEE

Find f'(x): f(x)=(x^2-3x)/x^2 A. 2x-3/x^2 B. 2x-3/2x C. 1-(3/x) D. 3/x^2 E. None of these I can put it into the division rule for the derivative but get confused when I'm simplifying.
November 30, 2014 by Anonymous

Maths Calculus Derivatives & Limits
Using the definition of the derivative evaluate the following limits 1) Lim h---> 0 [ ( 8 + h )^1/3 - 2 ] / h 2) Lim x ---> pi/3 ( 2cosx - 1 ) / ( 3x - pi)
October 25, 2011 by Yousef

show that the curves r=asin(è) and r=acos(è) intersect at right angles. can you show that the derivatives for each are the negative reciprocal of each other? That is the key. i need more info..i know how to find the derivative...but how will that prove my question. Do I need...
April 5, 2007 by Amy

math derivatives
An architect is designing a rectangular building in which the front wall costs twice as much per linear metre as the other 3 walls. The building is to cover 1350 m2. What dimensions must it have so that the costs of the walls is a minimum? write a formula using derivatives
June 6, 2015 by Barry

In addition, can you walk me through how to get the derivatives for these 2 statements, too? a) y = x^5/3 - 5x^2/3 b) y = (the cubed root of the quantity) [(x^2 - 1)^2] Hi there. I need to find the first derivative of this statement. y=x(x+2)^3 I tried the chain rule, but I ...
March 14, 2007 by Amy

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.
April 12, 2012 by Julie

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.
June 18, 2013 by Robin

Given \displaystyle \int_0^{\frac{3\pi}{2}} x^2\cos x \, dx = a - \frac{b\pi^2}{c}, where a, b and c are positive integers and b and c are coprime, what is the value of a + b + c?
March 10, 2013 by John

Solve the triangle.Round lenghts to the nearest tenth and angle measurements to the nearest degree. B = 43 C = 107 B = 14
November 19, 2007 by kelly

Find the derivatives of: 1. H(x)= sin2xcos2x The answer given is 2cos4x. My question is, how in the world did they get that!? Shouldn't the answer at least contain the sin function, either negative or positive seeing as it's the derivative of cos? Also, which rules are ...
October 3, 2013 by Daisy

Calulus Completely lost
Find the indicated one-sided limit, if it exists 1.lim f(x) and lim f(x), where x->0^+ x->0^- 2. f(x) = [2x if x is less than 0] [x^2 if x is greater than or equal to 0]
February 8, 2011 by Anonymous

A plane flying at a constant rate of 200km/hr. What is the distance travelled by the plane 3mintues after it passes the observation point.
November 3, 2012 by Daniella

a)find the first partial derivatives of f(x y)= x √1+y^2 b)find the first partial derivatives of f(x,y)= e^x ln y at the point (0,e)
March 11, 2012 by maria

The volume of the solid obtained by rotating the region enclosed by y=x^2 y=2x about the line x=2 can be computed using the method of disks or washers via an integral The volume is V
May 4, 2012 by cjones

Use the Midpoint Rule with n =3 to approximate the integral ç−1−8(10x−9x2)dx
May 12, 2013 by Ryan

Help- Calulus
A. If the focal length of the convex lens is supposed to be 5 cm, and if the image is formed 7 cm from the lens, find the distance, p, from the lens to the object. (It’s not necessary to simplify your answer.) Equation: 1/p + 1/q = 1/f
October 17, 2014 by Mary

Just got through with derivatives, power rule, and chain rule. I am supposed to find the first and second derivatives of the function. y = 4x/√x+1 and y = cos^2(x) y' = [(x+1)^(1/2)(4)]-[(4x)(1/2(x+1)^(-1/2))(1)] y' = [4(x+1)^(1/2)-4x]/[2(x+1)^(1/2)(x+1)] y' = (2-4x)/(x+...
September 26, 2015 by Justin

a particle is moving along the cure y=sqrt x. as the particle passes through the point (4,2), its x-coordinate increase at a rate of 3 cm/s. how fast is the distancefrom the particle to the origin changing at this instant?
November 19, 2009 by jackie

Maths Calculus
We want to build a rectangular cardboard box with no top and of given volume V using the least quantity of cardboard. Find the length of the box's edges by fnding the minimum of the total surface function. Verify that the point you found is indeed a minimum applying the second...
April 25, 2013 by Mohit

You have 300 square feet of wood you will use to construct a rectangular shed with a square base and top. What is the maximum volume of your shed? Optimization Question
December 11, 2015 by Daniel

What is wrong with the following reasoning??? f(x) = 2^x f'(x) = x[2^(x-1)] Although n x^(n-1) is the derivative of x^n, you cannot apply similar rules when x is the exponent and the number being raised to a power is a constant. The derivative of b^x, where b is a constant, is...
June 13, 2007 by Raj

Maths Calculus Derivatives
Find the first derivative for the following functions 1) f(x) = sin(cos^2x) cos(sin^3x) 2) f(x) = ( tan 2x - tan x ) / ( 1 + tan x tan 2x ) 3) f(x) = sin { tan ( sqrt x^3 + 6 ) } 4) f(x) = {sec^2(100x) - tan^2(100x)} / x
October 22, 2011 by Yousef

derivatives. f(x)=(1/-7x^12) f'(2)=? f'(-1)=?
January 18, 2008 by mike

-4x^4 x^1/2+(-7/(x^2 x^1/2))
September 9, 2010 by Janel

Derivatives ~ Calculus
If dy/dx = (1 + x)/(xy), x>0, and y=-4 when x=1, then when x=3, y= what?
June 5, 2012 by Hannah

Applications of derivatives A rectangle has its base on the x axis and its upper two vertices on the parabola y=12 - x^2. What is the largest area the rectangle can have, and what are its dimensions. Support your answer graphically. Thanks. Well, the parabola is symettric ...
November 18, 2006 by Jen

Compute the derivatives of : f(x)= x^7 + 7^x+ 7^7
November 22, 2010 by JJ

Determine h'(x) for h(x)= [x/(1-x)]^2
February 20, 2012 by Jessi

differentiate and simplify y= (e^x - 1) / x^2
March 25, 2012 by help

Anti-Derivatives 2x^6-x^3/x^2
December 11, 2015 by Jason

Hi~ Thank you for your help! I was trying to work on a problem about Taylor series, but i don't think im approaching the problem the right way. I have to find the fifth order Taylor polynomial and Taylor series for the function f(x) at x = 0. f(x) = 1/(x+2) I tried to just ...
March 7, 2011 by KIKSY

The top and bottom margins of a poster are 8 cm and the side margins are each 6 cm. If the area of printed material on the poster is fixed at 380 square centimeters, find the dimensions of the poster with the smallest area. find the width and height
March 19, 2012 by Mandy

What is f ''(x) and f ''''(x) of f(x)= e^-x^2 f"(x) = -e^-x^2(2x) F""(x)= -2e^-x^2 + 2xe^x^2 and also what is integral [0 to 2] f(x) dx
October 22, 2006 by 413

What are the derivatives? Thanks a) y = log(base2)(4-9x) b) y = x^(8x)
October 20, 2008 by Michael

What are the first and second derivatives of y = (1/x^2)-(1/(x-2)^2)?
November 1, 2009 by Freddy

find the derivatives F(x)=8ln(x^5-2x)
April 6, 2011 by melissa

How do you find the derivative of (6 csc x)/x?
October 28, 2011 by hannah

How do I find the 2nd derivative of x^(-1/15)
November 4, 2011 by Jacob

What are the first and second derivatives of y= x-3x^(1/3)
January 8, 2012 by Anonymous

What are the first and second derivatives of y= x^(2/3) * (2.5 - x)
January 8, 2012 by Anonymous

what are the first and second derivatives for y= x* (4-x^2)^1/2
January 8, 2012 by Anonymous

what are the first and second derivatives for y= x* (4-x^2)^1/2
January 8, 2012 by Anonymous

What are the first and second derivatives of y= x^(2/3) * (2.5 - x)
January 8, 2012 by Anonymous

calculus derivatives
Please confirm: {(5x+2)^4/x^2-3x+1)^3}= 20(5x+2)^2(x^2-3x+1)^3 -3x^2(5x+2)^4 (x^2-3x+1)^2/(x^2-3x+1)^6
July 19, 2012 by Laurie

Find the derivatives of the functions k(x)=(x^3+e^x)^4
February 11, 2013 by Joe

Find the derivative of xsecy+y^5=5x^3-7
June 26, 2014 by Sarah

Hi there I need help with one of the problem from my homework package. This week for my calculus class, we were learning how to do partial derivative and finding the tangent of the plane. So I do not know how to approach this problem. Please help me by how to derive this ...
October 25, 2009 by shylo

Calculus Graph help!!!
I need help with a calulus graph and figuring out its equation but it wont let me post the picture of the graphs here. so will someone who understands Calculus and their graphs super well please email me k m k underscore horse lover at hot mail dot com. no spaces and an actual...
May 2, 2012 by kelsey

maths letaracy,history,geography and life science
im going to grade 10 next year,and i want to be a psychologist and im going for maths letaracy and history feild im realy not good with maths and i just found out a few weeks ago that i need pure maths to do psychology.i don't know what to do now ,i also don't know the jobs ...
October 26, 2013 by khanyisa maringa

find the der of y= x^(lnx) thanks
October 13, 2009 by Carolina

Calculus (derivatives)
Find the derivative of cos^2(4x)
November 3, 2009 by Amanda

find the derivatives 1. y=sin^3(2x)(cos2x)
January 4, 2011 by gen

find the derivatives 1. y=sin^3(2x)(cos2x)
January 4, 2011 by gen

derivatives: 2. cos teta/ 1+sin^2
January 4, 2011 by gen

Find the derivative of g(t)=8t^2+9t at t=1 algebraically... g'(1)= _________
February 14, 2011 by Cad

trig derivatives
How do I find the derivative of 6 + 8cosx?
October 27, 2011 by lily

how do u find the derivative of (csc x)^7 -cos 4x???
October 27, 2011 by hannah

Find the derivatives of the function g(t)= cosh^3 t.
October 9, 2012 by Joe

what is meanning frechet and gateaux derivatives
November 6, 2015 by assma

Calc Derivatives
Find the critical points of (4x-3)/(3x^(1/2))
March 5, 2016 by Isabella

Econ/Math Derivatives
Find the derivative of the quotients: y=4X/(X-3)
September 13, 2007 by Rachel

Find a formula for the derivatives of the function m(x)=1/(x+1) IS the answer -1/(x+h)(x+h+1)
September 13, 2008 by George

derivatives: 3. y= cot^3(2/x) 4. y= csc^5 (1-t+3t^2) 5. y=sec(5x)/tan3x
January 4, 2011 by gen

f(x)=7cosx+6tanx, find f'(x)and f'(5pie/4)
February 24, 2011 by Daniel

Calculus (derivatives)
find the slopes at the indicated points y = 3 + 5x - 3x^3 (0,3), (1/2, 41/8), (2,-11)
October 13, 2011 by Nemo

find the antiderivative of f(x) = x^3(x-2)^2 Someone help me please!
April 26, 2012 by I Need Help

find the derivatives of the given functions. g(t)=sqrt t(1+t)/t^2
February 5, 2013 by Jake

math (2)
Find the first partial derivatives of the function. f(x,y,z) = xe^(y/z) a. fx = ? b. fy = ? c. fz = ?
April 30, 2014 by Mia

math (2)
Find the first partial derivatives of the function. f(x,y,z) = xe^(y/z) a. fx = ? b. fy = ? c. fz = ?
May 1, 2014 by Mia

Z=square root of (x^2+y^2) + xy Find the partial derivatives: x, xx, y, yy, xy. Thanks.
September 24, 2014 by jean

Z=square root of(x^2+y^2) + xy Find the partial derivatives: x, xx, y, yy, xy. Thanks.
September 24, 2014 by jean

I get mixed up when graphing derivatives. If I'm given the graph of f how do I get f' and f"?
January 12, 2015 by Anonymous

Calculus, derivatives
The curve is given by x^2+2r(sqrt(y))=xy What is dx/dr when y is constant?
May 8, 2015 by Andy

Calculus, derivatives
Derivative of y=(a^x)+(x^a). Show steps, please.
June 27, 2015 by Walt

find the first and second derivatives for 3x^4-4xy^2+7=2y
October 14, 2015 by jack

Make a complete re search project on maths is interconnected with other subject i.e. Maths Vs computer using art with maths.
June 5, 2012 by Shivansh Tomar

Consider the following function. f(t) = 3t2 − 3 (a) Find the average rate of change of the function below over the interval [3, 3.1]. (b) Compare this average rate of change with the instantaneous rates of change at the endpoints of the interval. (at t = 3) (at t = 3.1)
October 15, 2010 by Sophie

Let f be a function that has derivatives of all orders for all real numbers. Assume f(0)=5, f'(0)=-3, f''(0)=1, and f'''(0)=4. Write the third-degree Taylor polynomial for h, where h(x) = integral of f(t)dt from 0 to x, about x=0 for this part, I got 5x-3x^2/2+x^3/6. Then the ...
March 16, 2007 by Meredith

Find the first and second derivatives of the function. h(x) = sqrt x^2 + 1
October 14, 2008 by Vishnu

Find dy/dx for the function, xy-x-12y-3=0. Is the answer -14,I got this from 1-1-12=0, which solves to -14.
November 5, 2008 by George

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