Suppose that f(5) = 1, f '(5) = 6, g(5) = -3, and g'(5) = 5. Find the following values.

Q: Find the derivative of f(x) = 2x/√x+1 if f'(2)

A: Given: fx=2xx+1 Formula Used: fg'=g.f'-f.g'g2

Q: Solve for the derivative of the function using chain rule. 4. f(x)= (x3+4)5/ 3x4-2

A:

Q: Find the function whose derivative is 1-e2x

A:

Q: Find second derivative of f(x) =6x^2+7x+1

A: We have to find second derivative of  f(x) = 6x2+7x+1 Then , f'(x) = 12x + 7

Q: The first derivative of f(x) = (5x^4 - 6x)^1/3 will be?

A:

Q: Calculate the derivative of f(x)=4x³ with respect to x and evaluate this derivative at x=2.

A:

Q: By using the First Principle, find the derivative of the following function at x = 2. 4x + 3 f(x) =…

A: We have to find the derivative of f(x)=4x+3x+1 at x=2 by using the First Principle.

Q: In(x²) What is the derivative of

A:

Q: Find the derivative off(x)=−5x^8+8x^4 f'(x)=______

A:

Q: calculate the derivative with respect to x. x3R5 = 1

A: Given expression

Q: Find the second derivative for the functions defined as follows ƒ(x) = (x2 - 1)2

A: Given function: fx=x2-12 fx=x4-2x2+1 Differentiate the equation w.r.t "x"…

Q: Find the derivative of the function x +5 g(x) = 2, X +6x

A: Given function is, g(x)=x2+5x2+6x  Quotient rule of derivatives is, If f(x) and k(x) are functions…

Q: Find the first derivative: y= In V5x3 - 2

A: Given: y=ln5x3-25 We need to evaluate dy/dx. This can be done as follows:

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

A:

Q: What is the second derivative of f(x) 2x-3 2 x+1 10 (x+1)* 10 3 (x+1)° -10x+10 (x+1)* 10x-10 (x+1)*

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: 5, i, Evaluate the first and second derivatives of the function z-2x4+3x3+2x-5 when x = 4.

A: We have to find the first and second derivative of the function z=2x4+3x3+2x-5 when x=4.

Q: Find the derivative f(x)= In(ex+9)

A: find the derivative

Q: Find the derivative of the function. (x) - In(4 - x") f'(x) -

A: Find the derivative of the function.      fx=ln4-x8

Q: Suppose that the second derivative of the function y = f(x) is y" = x*(x = 2)°(x + 3). For what…

A: Given: The second derivative of the function y=f(x) is y"=x2(x-2)3(x+3) Definition: The inflection…

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: Find the first and second derivative if w = 3z-2-(1/z)

A:

Q: 1 3. f(x) = (-x4-3)2

A: Solve for the derivative

Q: What is the first derivative of f(x) = √√x² + 2x − 1?

A: Given the function,    fx=x2+2x-1

Q: Find the derivative of the ff. 3. f(x)= +an (x²- 2x) 8.h(x) = (4) -* -x2

A: Using chain rule.

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

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

Q: Find the second derivative of f(x)=x4.

A:

Q: Find the derivative of the function ° (2x + 1) f(x) = In x2 – 3 -

A:

Q: If q(x)=4e^x+9, determine the anti derivative of q(x). Do not include the constant C in answer)

A: Answer and explanation is given below..

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

A:

Q: second

A:

Q: 2х-3 3. у %3 Зx+4

A:

Q: Find the derivative of the function. f(x) = 4x In 4x f'(x)=

A:

Q: Find the derivative of f(x) = 4Vx + +4. O 4 + In(x) 4 x3 O 2 2 .2 O 2-4 O 2/x 4x-2 | 2

A: Given function is fx=4x+2x. We have to find the derivative of fx=4x+2x. Differentiate fx=4x+2x with…

Q: 2) Find the derivative of g(x) = 4x^2−3x+5 using the limit process.

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Q: Find the derivative of f(x) = e2" (3z² – 2)

A:

Q: Find the fourth derivative of f(x)=3-1.

A: To find the fourth derivative of the function: f(x)=3x-1 Now that the nth derivative of the function…

Q: Find the derivative of f(x)= 11x^2 at x=1

A: Given:    f(x) = 11 x2  at x = 1

Q: Find the first derivative given that f(x) 5x V2r+3

A:

Q: 2) Find the derivative of the function f(x) = 3x² by definition

A:

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: Find the derivative of f(x) = In2x 2 2z

A: We first use the addition property of logarithm.

Q: Suppose the first derivative of a function is f'(x) = (x- 30)(19x+ 1). The function f is decreasing…

A:

Q: Suppose that the second derivative of the function y = ƒ(x) is y'' = x2(x - 2)3(x + 3). For what…

A: Given that, y=f(x) Second Derivative is y'' = x2(x - 2)3(x + 3). As we know that, Inflection point…

Q: Find the 2nd derivative of f(x) = √2x-x²

A:

Q: Find the derivative of the following:

A: We have to find derivative of given function where function are given by

Q: In x g(x) = 2

A: