Solve d/dxleft(3{x}^frac{1{3}}right)

$$\frac{d}{d x } \left(3 { x }^{ \frac{ 1 }{ 3 } } \right)$$

Evaluate

$$\frac{1}{x^{\frac{2}{3}}}$$

Steps Using Definition of a Derivative

The derivative of ax^{n} is nax^{n-1}.

$$\frac{1}{3}\times 3x^{\frac{1}{3}-1}$$

Multiply \frac{1}{3} times 3.

$$x^{\frac{1}{3}-1}$$

Subtract 1 from \frac{1}{3}.

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

Differentiate w.r.t. x

$$-\frac{2}{3x^{\frac{5}{3}}}$$