integrals Question

Question

Find f.

f"(x) = −2 + 12x − 12x²,    f(0) = 9,    f'(0) = 14

Answer 1

For example, if f'(x) = 2x + 1 and f(0) = 6, then you could find f by taking the antiderivative of f' to get

f(x) = x² + x + C

and using the condition f(0) = 6 to determine that C = 6, and therefore f(x) = x² + x + 6.

Use the same process twice for your problem since you are given f''(x).