CAL HW HELP PLEASE

Question

Find f.

f ″(x) = −2 + 24x − 12x²,    f(0) = 8,    f ′(0) = 16

f(x) = _______

 

Answer 1

integrate f''x) to get f'(x) = -2x + 12x^2 - 4x^3 + 16

or rewrite in descending exponents

f'(x) = -4x^3 + 12x^2 -2x +16

integrate f'(x) to get f(x) = -x^2 + 4x^3 -x^4 +16x + 8 or

-x^4 +4x^3 -x^2 +16x + 8