Solve xxx

$$xxx$$

Evaluate

$$x^{3}$$

Steps Using Product of Powers Property

Use the rules of exponents to simplify the expression.

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

Use the Multiplication Rule for Exponents.

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

Add the exponents 1 and 1.

$$x^{2+1}$$

Add the exponents 2 and 1.

$$x^{3}$$

Differentiate w.r.t. x

$$3x^{2}$$

Steps Using Definition of a Derivative

Multiply x and x to get x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}x)$$

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

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

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

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

Subtract 1 from 3.

$$3x^{2}$$