Find f(x) for the following function. -In x f(x) = 3/¹¹ a 01 3 02 O In x-2 Vn VE -2. (1 - ln x) In 2-3. In x -In x-2 OV-2. Int -In x-2 X ²2. (1 + Inx) None of the given choices

Q: Use the graph of the function f(x) to sketch the graph of the derivative f’(x)

A: We have to graph the function f(x) and its derivative.

Q: Given f''(x) = 8x- 2 and f'(- 2) = – 2 and f(- 2) = 3. Find f'(x) = and find f(3)

A: Solution:

Q: Use derivative rules to compute f'(-1) given f (x) = -4x8-32x - 4.

A: f(x)=-4x8-32x-4Formula: xn'=n xn-1

Q: Determine the derivative for f(x)=√x + 2 from first principles (Do NOT use shortcuts)

A: The given function is

Q: Compute f’(-2) using shortcut rules. f(x) = 5x + 9

A:

Q: f(x)=x^3 find f^-1(-8)

A:

Q: Determine f '(x) for the function

A: The derivative of the function is computed as follows.

Q: If f(x)=x2 -5x+7, calculate the derivative of f(x). Give it the name f'(x). Compare the domains of…

A: First we have to calculate the derivative of f(x) and then domains

Q: Let _ƒ'(x) = f(x) = (–9x² − 7)³(-9x² + 2)-¹2 -

A: Given: fx=-9x2-75-9x2+2-12. To be find: expression for f'x. Formulas used:…

Q: State the domains and ranges for f(x) and f^-1(x)

A: Consider the function,

Q: Find the derivative. [2x(x^6+1)^3]

A: Let y=2x(x6+1)3

Q: Use the graph of f(x) to find the interval where f''(x) > 0. Ⓡ 3- 2- 1- ms -5 -4 -3 -2 -1 1 3 4 5 A.…

A: Here we have given the curve of f(x)  Now to determine all x value where  f"(x) > 0

Q: f(x) = (-8x²9)³(-9x²-4)-12

A: we will find the required.

Q: Use the graph of f(x) to find the interval where f''(x) > 0. -5 -4 -3 -2 -1 3- 2- 2 -3₂ 4 T 5 A.…

A:

Q: Find the function of the derivative f'(x)= -12x+5 and with the graph passing through (-2,5)

A: Given, f'(x)= -12x+5

Q: If f(x) = find f"(x)

A: We first find the first derivative using the quotient rule