Question

Escolha uma:
a. f' (4) = 13/2
b. f' (4) = -1/2
c. f' (4) = 1/2
d. f' (4) = -13/2
e. f' (4) = 3/2

Answer 1

regra do produto
(U*V)' = U'*V + U*V'

$f(x) = g(x)*{ \sqrt{x} }\\\\\\ f'(x)= g'(x)* \sqrt{x} + g(x)*( \sqrt{x} )'\\\\f'(x)=g'(x)* \sqrt{x} +g(x)* \frac{1}{2 \sqrt{x} } \\\\f'(4) = g'(4)* \sqrt{4} +g(4)* \frac{1}{2 \sqrt{4} } \\\\f'(4) = 3* \sqrt{4} +2* \frac{1}{2 \sqrt{4} } = \frac{13}{2}$