Question

g(x)=sqrt(x) * f(x)

find g'(4) given f(4)=3 and f'(4)=-5

i get -7/4 but my book says answer is -37/4

Answer 1

\[g'(4)=\sqrt4\times f'(4)+f(4)\times \frac{1}{2\sqrt4}\]

Answer 2

that be the product rule

Answer 3

i know that but it does not equal the answer in my book