Question

Determinar la derivada

Answer 1

Respuesta:

Explicación paso a paso:

5)   y = f(x) = $\frac{5}{ \sqrt[6]{x} }$ = 5$x^{-\frac{1}{6} }$

y' = f'(x) = $5.(-\frac{1}{6} ).x^{-\frac{1}{6} -1}$

y' = f'(x) = $-\frac{5}{6}.x^-\frac{7}{6}$

$y' = f'(x) = -\frac{5}{6x^\frac{7}{6}}$

 $y' = f'(x) = -\frac{5}{6\sqrt[6]{x^{7} } }$

6) $y = f(x) = 3x^{-\frac{1}{6} }$

$y' = f'(x) = 3.(-\frac{1}{6} ).x^{-\frac{1}{6} -1}$

$y' = f'(x) = -\frac{1}{2}.x^{-\frac{7}{6}}$

$y' = f'(x) = -\frac{1}{2x^\frac{7}{6}}$

$y' = f'(x) = -\frac{1}{2\sqrt[6]{x^{7} } }$