Question

qual a derivada da raiz de x

Answer 1

$f(x)= \sqrt{x} \\\\f(x) =x^{ \frac{1}{2} }\\\\\\f'(x)= \frac{1}{2}*x^{ \frac{1}{2}-1 } \\\\f'(x)= \frac{1}{2}*x^{- \frac{1}{2} } \\\\f'(x)= \frac{1}{2}* \frac{1}{x^{ \frac{1}{2} }} \\\\\ f'(x) = \frac{1}{2}* \frac{1}{ \sqrt{x} } \\\\f'(x) = \frac{1}{2 \sqrt{x} }$