Question

qual a primeira derivada de raiz de x^2 -4

Answer 1

$<var>1/2.\frac{1}{\sqrt{x^{2}-4}}.2x\\ \frac{x}{\sqrt{x^{2}-4}}</var>$

Answer 2

$<var>\sqrt{x^{2}-4}</var>$

 

fazendo u=x²-4 temos:

               v= x²

a primeira derivada da seguinte maneira:   √u=$<var>u^{\frac{1}{2}}</var>$

                                                                                   =½*$<var>u^{\frac{1}{2}-1}</var>$*v²

                                                                                   =½$<var> *u^{\frac{-1}{2}}</var>$*2v

                                                                                   =½*√$<var>u^{-1}</var>$*2x

                                                                                   =$<var>\frac{x}{x^{2}-4}</var>$

Espero ter ajudado

 

thiau