Q - Primitive Function (1 Viewer)

[Smile12345]

Hello All...

Could someone please help me with the following?

'A function has f'(1) = 3 and f(1) = 5. Evaluate f(-2) given f''(x) = 6x + 18.'

Thanks in advance.

 

[braintic]

f''(x) = 6x + 18

f'(x) = 3x^2 + 18x +c
=3x^2 + 18x - 18, given f'(1)=3

f(x) = x^3 + 9x^2 - 18x + c
=x^3 +9x^2 - 18x + 13, given f(1)=5