Solve (-6x)(3x)

$$( - 6 x ) ( 3 x )$$

Evaluate

$$-18x^{2}$$

Solution Steps

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

$$-6x^{2}\times 3$$

Multiply -6 and 3 to get -18.

$$-18x^{2}$$

Differentiate w.r.t. x

$$-36x$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(-6x^{2}\times 3)$$

Multiply -6 and 3 to get -18.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-18x^{2})$$

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

$$2\left(-18\right)x^{2-1}$$

Multiply 2 times -18.

$$-36x^{2-1}$$

Subtract 1 from 2.

$$-36x^{1}$$

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

$$-36x$$