10 points. Need help with calculus 1
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10 points. Need help with calculus 1

[From: ] [author: ] [Date: 12-04-26] [Hit: ]
......
Given f"(x) = 9x- 5 and f'(0) = 4 and f(0) = -1, Find f'(x) and Find f(2)
f'(x) = ??
f(2) = ??

-
f'' = 9x - 5

f' = 9/2*x^2 -5x + c
f'(0) = 4 ---> c = 4
f' = 9/2*x^2 - 5x + 4

f = 9/6*x^3 - 5/2*x^2 + 4x + c
f(0) = -1 --> c = -1
f(x) = 3/2*x^3 - 5/2*x^2 + 4x - 1

f(2) = 3/2*8 - 5/2*4 + 8 - 1
= 12 - 10 + 8 - 1
= 9


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