If f(x) = 6 sin¯¹(x²), find ƒ'(x). Find ƒ'(0.5).

Q: Let F(x) = f(xf (x²)). Suppose that ƒ(4) = 6, ƒ'(4) = 1, and ƒ'(12) = 5. Find F'(2).

A: Given, .Given,  f(4)=6, f'(4)=1 and f'(12)=5.

Q: Find the slope of the graph of the function f(x)=(-5x – 4)² at x = 3. a. f'(x)=-38 b. f'(x)=95 c.…

A: We need to find the slope of given function at x=3

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

A: Solution:

Q: If f(x) = 7+ Find f'(x). Find f'(x). 10/8 + 4 x²

A: Given that a function f (x) = 7+ 5/x + 4/x2.  And we find f'(x) and f"(x).

Q: Find f'(x) for the following function. Then find f'(5), f'(0), and f'(- 1). f(x) = 6x - 7x

A: Given function is,

Q: Find f'(x). f(x)=4xex

A: The objective of the question is to find the derivative of the function f(x) = 4x * e^x. In…

Q: Find all functions ƒ whose derivative is ƒ'(x) = x + 1.

A: Given that f'(x)=x+1

Q: The derivative of the function f (x) is represented by f (x, isf"(x) = A. D. B. E. C.

A: We have to find the derivative of the following function -  f(x) = 1x3

Q: f(x) = 9(x2)

A:

Q: Find F '(x).

A:

Q: Find f'(x) for the following function. Then find f' (7), f'(0), and f'(- 12). 36 f(x) = X- 6 f'(x) =…

A: Answer and explanation is given below....

Q: Find f'(2²) if (f(x²)] = x4.

A:

Q: Find derivative.

A: Given: The function, fx=x46-9x.

Q: Differentiate. F(x) = (8x + 3)² %3D F'(x) =

A: The given function is Fx=8x+32. We can take Fx=8x+32 as Fx=gx2 where gx=8x+3. Therefore, F'x=ddxgx2…

Q: Find f' (x) for ƒ (x) = 8x° – 3e".

A: Given : fx = 8xe - 3ex

Q: Find the higher-order derivative. f"(x) = 12x³ - 38x² f(x) = 72 X

A:

Q: Find f'(x) for the function. f(x) = 8x3 - x + 1 f'(x) =

A: Given f(x) = 8x3-x+1 We know that d(xn)/dx = n•xn-1

Q: Vx² + 100 -10 lim x²

A: We are solving the first question and for the next question post the question again and also mention…

Q: Find f'(x) for the following function. Then find f'(5), f'(0), and f'(-4). f(x) = -6x² - 11x

A: Given the function                f(x)=-6x2-11x.

Q: Find the derivative of the function F(x) = Answer - 4(7+2√x)-³. F'(x) =

A:

Q: Find  f' in terms of g' .

A: f(x)=g(ex)chain rulef(g(x))'= f'(g(x))* g'(x)

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: Find a formula for f'(x) and determine the slopef'(-5) for the following function. 6e f(x) - Te* + 6…

A:

Q: If f(x) 2 find f'(5). x2

A:

Q: = -x7/6. Compute the quantity f'(1). Let f(x) = -x7/6 ƒ'(1) = Number

A:

Q: Find F'(x) if F(x) = Vidt 3

A:

Q: Let f(x): f'(x) = and f"(x) = = 7x² 4 - 3x -. Then

A: Given query is to find indicated derivative.

Q: If the limit exists, use the Squeeze Theorem to determine lim #1 Hint: to build the compound…

A: To find

Q: Find a formula for f'(x) and determine the slopef'(-2) for the following function. f(x) = -4ex³+3

A: We will solve the following.