Solve 2x*6x

$$2x \times 6x$$

Evaluate

$$12x^{2}$$

Solution Steps

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

$$2x^{2}\times 6$$

Multiply 2 and 6 to get 12.

$$12x^{2}$$

Differentiate w.r.t. x

$$24x$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{2}\times 6)$$

Multiply 2 and 6 to get 12.

$$\frac{\mathrm{d}}{\mathrm{d}x}(12x^{2})$$

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

$$2\times 12x^{2-1}$$

Multiply 2 times 12.

$$24x^{2-1}$$

Subtract 1 from 2.

$$24x^{1}$$

For any term t, t^{1}=t.

$$24x$$