Solve xx^2x

$$x { x }^{ 2 } x$$

Evaluate

$$x^{4}$$

Steps Using Product of Powers Property

Use the rules of exponents to simplify the expression.

$$x^{1}x^{2}x^{1}$$

Use the Multiplication Rule for Exponents.

$$x^{1+2+1}$$

Add the exponents 1 and 2.

$$x^{3+1}$$

Add the exponents 3 and 1.

$$x^{4}$$

Differentiate w.r.t. x

$$4x^{3}$$

Steps Using Definition of a Derivative

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

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

To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.

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

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

$$4x^{4-1}$$

Subtract 1 from 4.

$$4x^{3}$$