Find f if f′(x)=12(x^3)+16x+7 and f(1)=−3.

Answer 1

Integration:

f(x) = 3 x^4 + 8x^2 + 7x + c

f(1) = -3

-3 = 3 + 8 + 7 + c

-3 = 18 + c

c = 21

f(x) = 3 x^4 + 8x^2 + 7x -21