Question

find the derivative of the given function.
y = \sqrt3{5x}
\frac{dy}{dx}=□

Explanation:

Step1: Rewrite the function

$y=(5x)^{\frac{1}{3}}$

Step2: Apply power - rule

$\frac{dy}{dx}=\frac{1}{3}(5x)^{-\frac{2}{3}}\times5$

Step3: Simplify

$\frac{dy}{dx}=\frac{5}{3(5x)^{\frac{2}{3}}}$

Answer:

$\frac{5}{3(5x)^{\frac{2}{3}}}$