Solve (8x)(-9x)

$$( 8 x ) ( - 9 x )$$

Evaluate

$$-72x^{2}$$

Solution Steps

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

$$8x^{2}\left(-9\right)$$

Multiply 8 and -9 to get -72.

$$-72x^{2}$$

Differentiate w.r.t. x

$$-144x$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(8x^{2}\left(-9\right))$$

Multiply 8 and -9 to get -72.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-72x^{2})$$

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

$$2\left(-72\right)x^{2-1}$$

Multiply 2 times -72.

$$-144x^{2-1}$$

Subtract 1 from 2.

$$-144x^{1}$$

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

$$-144x$$