Let f(x) = 2 x3 + 4 x + 1. Find the values for the coefficients in the expressions for the first and second derivatives below.

f '(x) = A x3 + B x2 + C x + D

f ' ' (x) = F x3 + G x2 + H x + J

Question

Let f(x) = 2 x3 + 4 x + 1. Find the values for the coefficients in the expressions for the first and second derivatives below.

f '(x) = A x3 + B x2 + C x + D

f ' ' (x) = F x3 + G x2 + H x + J

campbell_st · Answer

find th derivatives

$$f(x) = 2x^3 + 4x + 1  f'(x) = 6x^2 + 4   f"(x) = 12x$$

equating coefficents   in f'(x)  A = 0, B = 6, C = 0 and D = 4

                                         f"(x)   A = 0 B = 0 C = 12 and D = 0

campbell_st · Answer

oops for f"(x)  F = 0, G = 0, H = 12 and J = 0

anonymous · Answer

thanks