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Question

ake a Test -T vellui Secure https://www.mat ent/Player Test aspx?test 152065247&centenwin; yes HCC DE Math 1325-0001 (10181) 16-weeks Spring 2017urar S Test: Test 3 Time Re This Question: 3 pts 17 of 19 (0 complet ation For the function fx) f simplify your answer) Select the correct choice below and fill in any answer boxes in your choice. O A f"(). Simplify your answer) O B. f "(1) is undefined. Select the comect choice below and fil in any answer boxes in your choice. A. (9) (simplify your answer) O B. f "(9) is undefined. select the correct choice below and fil in any answer boxes in your choice O A. f' (-5). (simplify your answer) O B. f ''(-6) is undefined Click to select your answer(s)

Explanation / Answer

f = x ^3/3 - 2x^2 - 45x

Derive first :
f'(x) = 1/3(3x^2) - 2(2x) - 45
f'(x) = x^2 - 4x - 45

Derive again :
f''(x) = d/dx(x^2 - 4x - 45)
f''(x) = 2x - 4 - 0
f''(x) = 2x - 4

Now,
f''(1) = 2(1) - 4 ---> 2 - 4 ----> -2

f''(9) = 2(9) - 4 ---> 18 - 4 = 14

f''(-5) = 2(-5) - 4 ----> -14

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