Solve x*x*3x

$$x \cdot x \cdot 3 x$$

Evaluate

$$3x^{3}$$

Solution Steps

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

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

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

$$x^{3}\times 3$$

Differentiate w.r.t. x

$$9x^{2}$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}\times 3x)$$

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

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

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

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

Multiply 3 times 3.

$$9x^{3-1}$$

Subtract 1 from 3.

$$9x^{2}$$