Antiderivatives

Question

Given f”(x)= 3x-5 and f’(-1)=-6 and f(-1)=4.

find f’(x)=

and find f(1)=

Answer 1

f''(x) = 3x - 5

f'(x) = (3/2)x² - 5c + C

f'(-1) = -6

(3/2)(-1)² - 5(-) + C

Solve for C. Substitute value of C into f'(x)

Repeat process to determine f(x)