Solve x^2x^2/3

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

Differentiate w.r.t. x

$$\frac{4x^{3}}{3}$$

Steps Using Definition of a Derivative

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{4}}{3})$$

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

$$4\times \frac{1}{3}x^{4-1}$$

Multiply 4 times \frac{1}{3}.

$$\frac{4}{3}x^{4-1}$$

Subtract 1 from 4.

$$\frac{4}{3}x^{3}$$

Evaluate

$$\frac{x^{4}}{3}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$\frac{x^{4}}{3}$$