Question

Calculate the derivative of the function. Then find the value of the derivative as specified.

f(x) =8/x ; f'(-1)

Answer 1

\[f(x)= 8/x = 8*x ^{-1}\]

differentiate yields: \[f \prime(x)= (-1)*8*x ^{-2} = -8/x ^{2}\]

to find f'(-1), just substitute x=-1 in the derivative