(12) Compute the following f ' (4) and f '' (4), when f(t) = 1/1+t

Question

f ' (4) = ________ (Type an integer or a simplified​ fraction).

f '' (4) = _________ (Type an integer or a simplified​ fraction).

Answer 1

f(t) = (1 + t)^-1

f'(t) = -1(1 + t)^-2 = 1/(-t - 1)² = 1/(t² + 2t + 1)

The next one's on you.