Question

find the derivative.
$\frac{d}{dx}(sqrt4{x}-\frac{10}{x})$
$\frac{d}{dx}(sqrt4{x}-\frac{10}{x})=square$

Explanation:

Step1: Rewrite terms

$\frac{d}{dx}(4x^{\frac{1}{4}}- 10x^{-1})$

Step2: Apply power - rule

$4\times\frac{1}{4}x^{\frac{1}{4}-1}-10\times(-1)x^{-1 - 1}$

Step3: Simplify

$x^{-\frac{3}{4}} + 10x^{-2}$

Answer:

$x^{-\frac{3}{4}}+10x^{-2}$