Question

Let f''(x)=5x+5 with f'(2)=1 and f(-2)=2.

Find f'(x) and f(3)?

Answer 1

After you integrate f'', you end up with your "+c" at the end. To solve for this, just plug in your initial values (x=2 and set that whole function equal to 1)

c=-19
f'(x)=(5/2)x^2+5x-19

Follow the same steps:

f(3)=82/3