# Math - Derivatives

133,938 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

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

### 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 ...

### 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.

### 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?

### Math(Please help)

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)