Question

O valor da derivada da função f(x)= √(7-x) no ponto (-2, 3) é?

Answer 1

$f(x)= (7-x)^{ \frac{1}{2} } \\ \\f(x)'=- \frac{1}{2} (7-x)^{- \frac{1}{2} }$

para x = -2 :

$f(-2)'= - \frac{1}{2} (7+2)^{- \frac{1}{2} }=- \frac{1}{2} . \sqrt{ \frac{1}{9} } =- \frac{1}{6}$