Question

differentiate f(x) = 6 / cube root x^2

Answer 1

Step-by-step explanation:

Use this rule: $\tt{({x}^{a})}^{b}={x}^{ab}$

.

$\tt\dfrac{d}{dx} \dfrac{6}{{x}^{\frac{2}{3}}}$

2 Use Constant Factor Rule: $\tt\dfrac{d}{dx} cf(x)=c\left(\dfrac{d}{dx}\right )$

$\tt 6\left(\dfrac{d}{dx} \dfrac{1}{{x}^{\frac{2}{3}}}\right)$

3 Use Power Rule: $\tt\dfrac{d}{dx} {x}^{n}=n{x}^{n-1}$

$\tt -\dfrac{4}{{x}^{\frac{5}{3}}}$