Question

como derivar 1/√x passo a passou

Answer 1

Oi :)    Eis o passo a passo:

$y= \frac{1}{ \sqrt{x} } \\ \\ y= \frac{1}{ x^{ \frac{1}{2} } } \\ \\ y=x^{ -\frac{1}{2} } \\ \\ y'=- \frac{1}{2} x^{ -\frac{1}{2} -1} \\ \\ y'=- \frac{1}{2} x^{ -\frac{3}{2}} \\ \\ y'=- \frac{1}{2 x^{ \frac{3}{2}}} \\ \\ y'=- \frac{1}{2 \sqrt{x^3}}$