# Derivatives

389 results

### 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

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

### 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

### 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

### Math - Calculus 1

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

### 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!

### 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

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...

### 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

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.

### 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 ...

### 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)

### 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+...

### 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 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 ...

### calculus

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

### Math-Derivatives!!!

-4x^4 x^1/2+(-7/(x^2 x^1/2))

### Derivatives ~ Calculus

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

### 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 ...

### 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 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

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 ...

### 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

### 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???

### Math

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

### math

what is meanning frechet and gateaux derivatives

### Calc Derivatives

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

### 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)

### calculus

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

### Econ/Math Derivatives

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

### 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

### Calculus(derivatives)

f(x)=7cosx+6tanx, find f'(x)and f'(5pie/4)

### Calculus (derivatives)

find the slopes at the indicated points y = 3 + 5x - 3x^3 (0,3), (1/2, 41/8), (2,-11)

### Anti-Derivatives

find the antiderivative of f(x) = x^3(x-2)^2 Someone help me please!

### calc

find the derivatives of the given functions. g(t)=sqrt t(1+t)/t^2

### 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.

### calculus

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

### Calculus

I get mixed up when graphing derivatives. If I'm given the graph of f how do I get f' and f"?

### Calculus, derivatives

The curve is given by x^2+2r(sqrt(y))=xy What is dx/dr when y is constant?

### Calculus, derivatives

Derivative of y=(a^x)+(x^a). Show steps, please.

### calculus

find the first and second derivatives for 3x^4-4xy^2+7=2y

### 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

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 ...

### calculus

Find the first and second derivatives of the function. h(x) = sqrt x^2 + 1

### Derivatives

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.

### calculus

find the partial derivatives du/dx, du/dy and du/dt. u= root (r^2+s^2, r = y + x cos(t), s = x + y sin(t);when x = 0, y = 2, t = 2

### Calc

what are the first and second derivatives of y= sinx - 3^1/2 cos x for x in [0,2pi]

### trig

I need help finding derivatives and antiderivatives. Given: f(x),find f'(x) 1. f(x)-2x^6 2. f(x)= -3x +7 3. f(x)= 3x^2 - 5x 4.f(x)= 1/2x^2 - x + 4

### Calculus-derivatives

f(x) = (x-1)^(2/3)*(x+3) What are the critical numbers? the derivative would be =2/3(x-1)^(-1/3)(x+3) + (x-1)^2/3 What do I do next?

### science

find derivative of f(x)=1/sqx^2+1 by using the definition of derivatives

### 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)

### Calculus

Find all first partial derivatives: f(x,y)=e^(xy)cosx

### Derivatives

Can you help me find the derivative of this function, I keep messing up of the steps :( f(x)= (x-2)(x^2-3x-1)

### Derivatives

Find derivative of y= x^3(5x-1)^4 I got y'= 2x(5x-1)^3 +16x^2+5x-1 is this right? If not what and where did I go wrong

### 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))].)

### Calculus-derivatives

At what points on the graph of f(x)=6x^2+4x-9 is the slope of the tangent line -2?

### math

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

### Calculus - Anti-Derivatives

How would you find the Integral of (cos(x\8))^3, defined from -(4 x pi)/3) to (4 x pi)/3)

### calculus - (derivatives)

Find the derivative of the function f by using the rules of differentiation. F(x) = 3 ã x

### Differential Euation

How do you find the primes denote derivatives with respect to x. Such as xy'+ 5y= 7x^2, y(2)= 5

### Calculus First Derivatives

If f(2) = 2.5 and f'(2) = -2.5, then f(2.5) is approximately... I have no idea how to do this without an equation.

### calculus/derivatives

I need to find the derivative and can't do them when they are raised to powers? Thank You. m(x)x^5 - 5x^3+7x -4)^10 (4x^9 +19)^23 this on is tuff!

### Calculus - HELP plz!

Find all of the first partial derivatives of f(x,y,z)=arctan y/xz