# Math - Derivatives

133,254 results

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

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

Math-Derivitives

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

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

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!

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

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 ...

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...

Calculus
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...

Calculus
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...

Calculus/Derivatives
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 ...

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.

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.

Math-Derivatives!!!
-4x^4 x^1/2+(-7/(x^2 x^1/2))

Derivatives
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 ...

Math derivatives
Let f(2)=3, g(2)=4, f'(2)=5, g'(2)=6, f'(3)=7, g'(3)=8, etc. find (f∘g)′(2)

calculus
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)

Math
Find the derivatives of the function g(t)= cosh^3 t.

math
what is meanning frechet and gateaux derivatives

Math derivatives
Develop a rule for the following: Dx[f(x)g(x)/h(x)]

Math Derivatives
Find f''(2) of function f(x)=xsin(pi/x)

Econ/Math Derivatives
Find the derivative of the quotients: y=4X/(X-3)

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

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

math
Z=square root of (x^2+y^2) + xy Find the partial derivatives: x, xx, y, yy, xy. Thanks.

Math
HELP DERIVATIVES!!!!!!!!!!!!! if h(x)=f[f(x)] use the tables for f and f' to find the value of h'(1) X f(x) f'(x) 1 3 2 2 1 5 3 6 7

Calculus
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+...

math
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) ?

Math: Calc: Implicit Derivatives
Find dy/dx give the relation (x^2/9)+(y^2/16)=1 Thank you!!

math
find the derivatives, dy/dx for the folowing function : y=ln(cos(0.5)+(sin(x^2+3))^1/3)

math
Find the first order partial derivatives. z=ln(xy-sqrt(x^2-y^2)

Math - Derivatives
Find the nth derivative of y=2x/(1-x^2) (Hint: Consider -[(1/(x-1))+(1/(x+1))].)

math
Find the derivatives of the following functions. 1.F (x)cotx 2.f (x)=sin (x2+2)

*math (7)
Evaluate the first partial derivatives of the function at the given point. f(x, y) = x^2 + xy + y^2 + 2x - y ; at (-5, 4) fx(-5, 4) = ? fy(-5, 4) = ?

math (3)
Evaluate the first partial derivatives of the function at the given point.(0,e) f(x,y) = 6e^x ln(y) fx(0,e) = ? fy(0,e) = ?

math derivatives
derivative of ln[(1+v)^(1+v)(1-v)^(1-v)] I know my log rules allow me to rewrite this as ln[(1+v)(1+v)+(1-v)(1-v)] but what I do from there i don't know.... Wolfram says it is ln(v+1)-ln(v-1)but i don't know how to get that...

Math - Derivatives
Find all points on the graph of y=1/4x^4+2/3x^3-5/2x^2+6x+7 where the slop of the tangent lins is 12.

Math
Find the derivative of: ln(2x/x+1) the answer is 1/x(x+1) but i can't seem to solve it that far. ln [2x/(x+1)] = ln 2 + ln (x) - ln(x+1) Add the derivatives of each term and you get 1/x - 1/(x+1) = [(x+1) - x]/[x(x+1)] = 1/[x(x+1)]

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

Calculus-Math
Complete the table. y = f(g(x)) u = g(x) y = f(u) y = (2x − 4)^7 u = y= This problem involves the chain rule of derivatives.

Calculus III
Hi, this question is about Langrange multipliers. Given f(x,y) = y^2 - x^2, subject to the constraint g(x,y) = 0.25x^2 + y^2 = 1, find the max and mins. So I found the partial derivatives for both f(x,y) and g(x,y): fx = -2x fy = 2y gx = 0.5x gy = 2y And set them up for the ...

Calculus III
Hi, this question is about Langrange multipliers. Given f(x,y) = y^2 - x^2, subject to the constraint g(x,y) = 0.25x^2 + y^2 = 1, find the max and mins. So I found the partial derivatives for both f(x,y) and g(x,y): fx = -2x fy = 2y gx = 0.5x gy = 2y And set them up for the ...

Calculus III
Hi, this question is about Langrange multipliers. Given f(x,y) = y^2 - x^2, subject to the constraint g(x,y) = 0.25x^2 + y^2 = 1, find the max and mins. So I found the partial derivatives for both f(x,y) and g(x,y): fx = -2x fy = 2y gx = 0.5x gy = 2y And set them up for the ...

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?

f(x,y)=x^2 e^2x lny (2,1) I need to find the partial derivatives with respect to x and y. I have not idea how to do this especially with the (2,1).

math (7)
Find the second-order partial derivatives of the function. f(x,y) = x^5 + x^2y + x + 5 a. fxx = ? b. fyy = ? c. fxy = ? d. fyx = ?

math (8)
Find the second-order partial derivatives of the function. f(x,y) = x^5 + x^2y^2 + y^4 + x + y a. fxx = ? b. fyy = ? c. fxy = ? d. fyx = ?

Math
By setting x equal to the appropriate values in the binomial expansion ( or one of its derivatives) evaluate the following : sum(k=1 to n) (n,k) k^2

Math - Derivatives
I find it difficult to take the derivative of something that has a constant base with a variable as an exponent...and simplify it... PLEASE HELP ME! f(x) = e^(x^(-1)) f'(x) = -1(e^(x^(-2))e^(x^(-1)) f'(x) = -e^(x^(-2))e^(x^(-1)) ????? and... f(x) = 3^x f'(x) = 3^x

math/ calculus
full work out with explanation of this problem please we're working with derivatives and i don't understand it given h(x)= cotx/x find h'(pi/2)

Math - Limits/Derivatives
The demand x is the number of items that can be sold at a price of \$p. For x = p^3 - 4p + 400, find the rate of change of p with respect to x by differentiating implicitly.

Math: Derivatives
Use the shortcut rules to mentally calculate the derivative of the given function f(x) = −x + (3/x) + 1 After deriving it, I got -1+(0/1)+0= -1 But this answer is wrong, and I don't know why. Thank You

Math-Derivatives.
if y=sec^(3)2x, then dy/dx= my answer is 6 sec^3 2xtan 2x but im not sure if that is right. ? Can someone show me if i did it correct.

calculus
derivatives. f(x)=(1/-7x^12) f'(2)=? f'(-1)=?

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

Math(Urgent)
Differentiate. g(x)=(x^3+1)(3x^2-1) I know that the answer is 15x^4-3x^2+6x but I donot know how to get to this. I was using g'(x) X h(x) + g(x) X h'(x) and I was using the derivatives 3x^2 and 6x but I guess this is wrong. Please help!! Thank you.

derivatives
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 ...

Math - derivatives of cos and sin fucntions
a) Find an equation of a line that is tangent to y=2sinx and whose slope is a maximum value. b) Is there more than one solution? Explain.

Calculus
Compute the derivatives of : f(x)= x^7 + 7^x+ 7^7

Maths Derivatives
If y = x ^ n + ( 1 / x ^ n ) prove that ( x^2y'' ) + ( xy' ) - ( n^2y ) = 0

Calculus-derivatives
Determine h'(x) for h(x)= [x/(1-x)]^2

Derivatives
differentiate and simplify y= (e^x - 1) / x^2

calculus
Anti-Derivatives 2x^6-x^3/x^2

Math help/check
Suppose the functions f and g and their derivatives have the following values at x = 1 and x = 2. Let h(x) = f(g(x)). Evaluate h′(1). X | f(x) G(x) f'(x) g'(x) ____________________________ 1 | 8 2 1/3 -3 2 | 3 -4 2π 5 My answer: -6π

Calculus
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 ...

Math
How do you find decreasing intervals of 6x^3-63x^2-144x-2? I found my increasing intervals from placing the derivatives i just can't seem to solve for the decrease

Derivatives
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

Calc
What are the derivatives? Thanks a) y = log(base2)(4-9x) b) y = x^(8x)

calc
What are the first and second derivatives of y = (1/x^2)-(1/(x-2)^2)?

calculus
find the derivatives F(x)=8ln(x^5-2x)

derivatives
How do you find the derivative of (6 csc x)/x?

derivatives
How do I find the 2nd derivative of x^(-1/15)

Calc
What are the first and second derivatives of y= x-3x^(1/3)

Calc
What are the first and second derivatives of y= x^(2/3) * (2.5 - x)

Calc
what are the first and second derivatives for y= x* (4-x^2)^1/2

calc
what are the first and second derivatives for y= x* (4-x^2)^1/2

calc
What are the first and second derivatives of y= x^(2/3) * (2.5 - x)

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

Maths
Find the derivatives of these: f(x)=√

calculus
Find the derivatives of the functions k(x)=(x^3+e^x)^4

Derivatives
Find the derivative of xsecy+y^5=5x^3-7

Math
Let f(x) = 3(x-1)^3 + 4(x-1)^2 + 2(x-1) -7 (a) Determine f'''(1) without taking any derivatives. Explain your method. (b) Determine the general Taylor polynomial of f aobut c =2 by computing any for each k, using the formula above for f(x).

MATH
Let f(x) = 3(x-1)^3 + 4(x-1)^2 + 2(x-1) -7 (a) Determine f'''(1) without taking any derivatives. Explain your method. (b) Determine the general Taylor polynomial of f aobut c =2 by computing any for each k, using the formula above for f(x).

Calc--derivatives
find the der of y= x^(lnx) thanks

Calculus (derivatives)
Find the derivative of cos^2(4x)

calculus
find the derivatives 1. y=sin^3(2x)(cos2x)

calculus
find the derivatives 1. y=sin^3(2x)(cos2x)

calculus
derivatives: 2. cos teta/ 1+sin^2

Derivatives
Find the derivative of g(t)=8t^2+9t at t=1 algebraically... g'(1)= _________

trig derivatives
How do I find the derivative of 6 + 8cosx?

derivatives
how do u find the derivative of (csc x)^7 -cos 4x???

Calc Derivatives
Find the critical points of (4x-3)/(3x^(1/2))

calculus
Find the derivatives of the following function: i)y=-3x^-3 +2x^-2 + x-2

Math - Calculus 1
Approximate the following value using derivatives (without a calculator) (1.1)^4 - (1.1)^2 I only know how to do linear approximation when using square roots. How do I do this type of problem?

math
so i am in precalculus, we need to graph the fuction using derivatives, maxima, intercepts and concavity. I am having trouble factoring cubics: for example: x^4-4x^3+16x --> x(x^3-4x^2+16)Now what? That is without calculator, how do you find the roots?

math
Find the first and second derivative of the function y=f(x)=x^3/(1-(x^2)) Use the information about the derivatives to determine any local maxima and minima, regions where the curve iss concave up or down, and any inflection points

Math
suppose u and v are functions of x that are differentiable at x=2 and that u(2) =3, u'(2) = -4, v(2) = 1, and v'(2) find values of derivatives at x = 2 (d/dx)(uv) = ? I would like to know how to set this up because I'm only used to getting problems that want the d/dx given ex...

Calculus
Find a formula for the derivatives of the function m(x)=1/(x+1) IS the answer -1/(x+h)(x+h+1)

calculus
derivatives: 3. y= cot^3(2/x) 4. y= csc^5 (1-t+3t^2) 5. y=sec(5x)/tan3x

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