If f(x) = x-!/3, what is the derivative of the inverse of f(x)?

Q: What is the derivative of x^6

A: We have to use exponent rule.d/dx(x^n)=n*x^(n-1)

Q: Find the derivative of f(x) = (1 + 2x²)(x – x²) in two ways: by using the Product Rule and by…

A: Given f(x)=(1+2x2)(x-x2) By Product rule,…

Q: Find the derivative of ƒ (x) = /7– 8x. %3D To enter va, type sqrt(a). f' (2) =

A: We have to find the derivative of the given function.

Q: Find the derivative of Log(2z³). 2/z 2/2? 1/2? 3/z

A: Answer

Q: What is the derivative of 1+x3 at the point (1, )? O 1/4 O- 1/4 O 1

A:

Q: what would be the output if the 2nd derivative is negative

A: We know that for a function y = f(x), the points of extremum are obtained if the first derivative of…

Q: what is the derivative of y=ex /(x2 + 15) Please show steps

A:

Q: What is the first derivative of 2x^2 + 3x + 5

A: find differentiation:-

Q: What is the derivative of f(x)=−2x?Do not include "f′(x)=" in your answer. For example, if you found…

A: we have to find derivative of f(x) ,we will use power rule

Q: Find the derivative of the inverse function to f(x)=ex-e-x

A:

Q: What is the derivative of y = (inverse tangent(3x))^2 ?

A: We will differentiate the given function with respect to X and use chain rule while differentiating.

Q: In(x²) What is the derivative of

A:

Q: If the sign of the first derivative function is positive, the main function f(x) is decreasing.

A: We have to tell If the sign of the first derivative function is positive , the main function f(x) is…

Q: 5 In this problem we will apply the second derivative test to the function f(x) = 4x + %3D

A: Given : fx=4x+5x

Q: Evaluate the 3rd derivative of y= x5Tan(x4) if x=4

A:

Q: What is the first derivative of p(x)=3^(x^5)?

A:

Q: what is he first derivative of f(x)=(5x^4-6x)  1/3

A: follow next step

Q: What is the first derivative of f(x) = ]n( 3x´+7x 5x

A:

Q: Find a function that has x^6 as its derivative without using integral knowlegde.

A: In this question, we need to find a function that has x6 as its derivative.

Q: What is the derivative of f(x) equals the third square root of x times the fifth square root of x?

A: Given function is

Q: 1 Find the function whose derivative is (x+1)-

A:

Q: Determine the derivative of the given function by using two different methods 2- 3) y = ² + 3

A: Given: y=x2-3x2+34

Q: How do you use the chain rule to find the derivative of 10 to the power of 2 times the square root…

A: We have to find the derivative of the function rt=102t using the chain rule. The derivative of a…

Q: Find the derivative Of U-5

A: Derivative of integration

Q: Suppose that the second derivative of the function y = ƒ(x) is y′′ = (x + 1)(x - 2). For what…

A: For inflection point we must have y" = 0

Q: what is the derivative of 1/x2

A:

Q: If f(x) = x³ + find f"(-1).

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: Which of the following could be an anti-derivative of f(x)= x square root of x-2 end root?

A:

Q: y= 3x³etan ( – 4x)

A: Topic:-  derivatives

Q: Find the derivative off (x) = 9x - 5 at x = 2 and x = 5.

A: Given f (x) = 9x - 5

Q: Find the derivative of f(x) = 9 sinh-' (x²) – 9 In ( Vx4 + 1). %3D

A:

Q: If f(x)=4sinx-x^3, what is the second derivative of f?

A:

Q: second

A:

Q: Help to find the derivative of f(x)=1/3x.

A: The given function is fx=13x

Q: What is the derivative of:  ex / x2

A: The given function is: fx=exx2   As we know that; The Power law: ddxxn=nxn-1 The Quotient rule:…

Q: 1) Use the definition of the derivative to calculate the derivative off(x) = 3x2-5x+ 1

A: Find the derivative of f (x) = 3x2 –5x +1.

Q: If fox) is odd function , then the derivative of y =coshf(-x)) equals

A: here option B is true

Q: What is the derivative of (x^2+1)^x?

A: Use the lograthim to find the derivative of given expression.

Q: 4. f(x)=

A: The given function is: fx=5x2x+3   As we know that; The Power Law: ddxxn=nxn-1 The Quotient rule:…

Q: f (x) %3D х3 -Зх2- 2 3x2

A:

Q: 1. Find the derivative of f(x). 3x3 – 2x2- x- 5 | (a) f(x) =

A:

Q: Find 3rd derivative if ƒ'(x) = x³.

A:

Q: Question 4 y= (4x -1)

A:

Q: What is the derivative of y=(1-x-1)-1  Please show steps. Thanks.

A:

Q: What is the derivative of cy = 2 - a°y ?

A:

Q: what is the second derivative of -y/x

A: Apply the quotient rule, If f=uv,thenddxf=vdudx-udvdxv2 If f=-yx, where y is the dependent variable,…

Q: How would you find the 65th derivative of sin(x)? Is there a pattern that occurs that allows you to…

A: Let y = sinx.Compute the first derivative of y as follows.

Q: Suppose we are asked to compute the 100th derivative of x 3 . How can we obtain the answer in a fast…

A: Solve the following

Q: What is the derivative for: X^3/(1-x^4)

A: What is the derivative for  x^3/(1-x^4)