Question

Ache as derivadas parciais primeiras de: f (r,s) =√ r² + s²

Answer 1

$f(r,s)= \sqrt{r^2+s^2} \\\\ \frac{\partial f}{\partial r}= \frac{1}{2 \sqrt{r^2+s^2} }* (2r^{2-1}+0)= \frac{r}{ \sqrt{r^2+s^2} } \\\\\frac{\partial f}{\partial s}= \frac{s}{\sqrt{r^2+s^2}}$