# Derivatives

386 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

***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) = ?