Question

differentiate X=4/3x⅓
however ans. first I'll mark him as brain list...​

Answer 1

Required derivative = $\dfrac{4}{9}x^{-2/3}$

Explanation:

Here $y=\dfrac{4}{3}x^{1/3}$

Differentiating both sides with respect to $x$, we get

$\dfrac{dy}{dx}=\dfrac{4}{3}\dfrac{d}{dx}(x^{1/3})$

$\Rightarrow \dfrac{dy}{dx}=\dfrac{4}{3}\times\dfrac{1}{3}x^{1/3-1}$

$\Rightarrow \boxed{\dfrac{dy}{dx}=\dfrac{4}{9}x^{-2/3}}$