Given that the function f is integrable, which of the following is equivalent to: x" f'(x) dr 12 a) O a" f(x) – 12 2" f(x) dæ

2 – x2 " 16) – If f(x) find: 5 + x2 * f'(x) =

6. Sketch: f(x) = [x+ 2] -1, on [-2,2]

Let x + 2 f(æ) x + 9 f-'(– 9) =

5.16] Use the function f (x) = xe¯** to find fave on [0,4]

Let 3 f(x) = ( – 2a² – 4)³(7æ² – 4)" - - f'(x) =

Find f"(x) for each of the following: Лх) — Зx3 — 2х +4 Ax) = 3(x + 2)² – 2e a 8x* – 3x Ax) = d Ax) = 2x(x + 1)²< .2 Ax) = 2x -x 1 Ax) = - 3x -4 e f

Let f(x) = (- 3z - 9)“(6z² – 6) 5 9)*(622 – 6) f'(x) =

Suppose the function f is continuous and has domain (-0, 00) and has all of the following characteristics. Use the information given to answer the questions that follow. f(0) = ft(5) = 0 f'(x) > 0 on the intervals (-o, 0) and (5, 00) ft(x) 0 on the interval (1, co) f"(x) < 0 on the interval (-o,1) a. On what interval(s) is fincreasing? а. b. For what value(s) of x does f have a local maximum? b. c. On what interval(s) is ƒ concave up? с.

18. 2. If f(x)=3x²-7 for all real numbers x, which of the following is equal to f(3) +ƒ(4)² A. (0) + (5) B. (6)-f(4) C. (6)+(1) D. f(7)-f(3) 1 *Show/Illustrate/Explain all work that leads to your answer*