Answer the following questions for the function f(x) = -2x³-12x²+72x - 14. a. Find formulas for f'(x) and f''(x). f'(x) = f''(x) = Enter f(x), f'(x), and f''(x) into your grapher to examine the table.

Q: Find f.   f ''(x) = (5/6)x5/6

A: Consider f''x = 56x56

Q: x 29. f(x) 1 + e*

A: Differentiating the given function by using quotient rule, we get

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: (2x + 1)3 (1- 4x)2' find f'(x) and fully simplify. If f (x) =

A: fx=2x+131-4x2f'x=ddx2x+131-4x2

Q: Find f. f "(x) = 5/ /1 - x2, = 2 ()- 2. f(x) =

A:

Q: a. f(x) = 4x + 11 find: f'(-2) b. f(x) = 2x2-5x 3 find: f'(2)

A: Given: f(x)=4x+11 f(x)=2x2-5x-3

Q: Find f '(x) and f "(x). x2 7 + 4x f(x) =

A:

Q: Identify x-values where f"(x) > 0. (Enter your answer using interval notation.) Identify x-values…

A:

Q: (f-1)'(3) given the following table of values. f(x) f'(x) 3 1

A: Given, Assume a nth order polynomial function. Substitute x=2 in the above expression.…

Q: Differentiate the function. g'(x) = g(x) = 2x² - 6x - 6x + 15 5

A: To differentiate the following function.

Q: Find y' if x' = y*

A:

Q: For the function f (x) = V8 (x – 1)*, find f-'(x).

A: Given query is to find the inverse of the function.

Q: For the function, find the following. f(x) = x4 − 6x3 − 7x2 + 4x − 6 (a) f '(x) (b) f…

A: find the given derivative of the function f(x)

Q: Given f (x) = 9x. Find f' (æ).

A:

Q: Find f'(x) and simplify. f(x) = (0.2x + 2)(0.6x - 9) Which of the following shows the correct…

A: f(x)= (0.2x+2)(0.6x-9)

Q: Find f'(-3) for the following. f(x) = x3

A:

Q: Find f'(1) for the following function

A:

Q: For the function ​f(x)=2e^−x^3​, find f′′(x). Then find f′′​(0​) and f′′​(1​).

A: To find f''(x)

Q: а. f(x) %3D х3 In x + cos x b. f(x) %3D logs(3х3 + 2х + 1) ((5х+1)6 Vx2+x с. f(x) %3D In

A:

Q: Consider the following. و + شہری ۔ شہر = (f(x (a) Find F(x) and f(x). f(x) = F(x) = (b) Graph Rx),…

A: Given:To find:f'(x) and f''(x) and monotone intervals

Q: Use the following graph of the function f(x) to draw f'(x) and f''(x).

A: Given: Graph of the function f(x) is shown as:

Q: For f(x) = 2x-4x2 +8 find the following. (A) f'(x) (B) The slope of the graph off at x= -2 (C) The…

A: