Question

Solution of f'(x) = 9x2+2x (-2,2)

Answer 1

f(x) = 3x³ + x² + 22

Explanation:

Given

f'(x) = 9x²+2x

To get f(x), we will be integrating the function

f(x) = 9x³/3 + 2x²/2 + C

f(x) = 3x³ + x² + C

at (-2,2)

2 = 3(-2)³ +(-2)² + C

2 = -24 + 4 + C

2 = -20 + C

C = 2+20

C = 22

Get the required function

f(x) = 3x³ + x² + C

f(x) = 3x³ + x² + 22