Question

find $\frac{dy}{dx}$.
$y = - 4.5x^{\frac{1}{3}}$
$\frac{dy}{dx}=square$

Explanation:

Step1: Apply power - rule

The power - rule for differentiation is $\frac{d}{dx}(ax^n)=nax^{n - 1}$. Here $a=-4.5$ and $n = \frac{1}{3}$.

Step2: Calculate the derivative

$\frac{dy}{dx}=\frac{1}{3}\times(-4.5)x^{\frac{1}{3}-1}=-1.5x^{-\frac{2}{3}}$

Answer:

$-1.5x^{-\frac{2}{3}}$