Solve (+12b)(-12b)

$$( + 12 b ) ( - 12 b )$$

Evaluate

$$-144b^{2}$$

Solution Steps

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

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

Multiply 12 and -12 to get -144.

$$-144b^{2}$$

Differentiate w.r.t. b

$$-288b$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}b}(12b^{2}\left(-12\right))$$

Multiply 12 and -12 to get -144.

$$\frac{\mathrm{d}}{\mathrm{d}b}(-144b^{2})$$

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

$$2\left(-144\right)b^{2-1}$$

Multiply 2 times -144.

$$-288b^{2-1}$$

Subtract 1 from 2.

$$-288b^{1}$$

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

$$-288b$$