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}.

$$2\left(-12\right)x^{2-1}$$

Multiply 2 times -12.

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

Subtract 1 from 2.

$$-24x^{1}$$

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

$$-24x$$