Solve (13(-11d))(13(+11d)

$$( 13 ( - 11 d ) ) ( 13 ( + 11 d )$$

Evaluate

$$-20449d^{2}$$

Solution Steps

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

$$13\left(-11\right)d^{2}\times 13\times 11$$

Multiply 13 and -11 to get -143.

$$-143d^{2}\times 13\times 11$$

Multiply -143 and 13 to get -1859.

$$-1859d^{2}\times 11$$

Multiply -1859 and 11 to get -20449.

$$-20449d^{2}$$

Differentiate w.r.t. d

$$-40898d$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}d}(13\left(-11\right)d^{2}\times 13\times 11)$$

Multiply 13 and -11 to get -143.

$$\frac{\mathrm{d}}{\mathrm{d}d}(-143d^{2}\times 13\times 11)$$

Multiply -143 and 13 to get -1859.

$$\frac{\mathrm{d}}{\mathrm{d}d}(-1859d^{2}\times 11)$$

Multiply -1859 and 11 to get -20449.

$$\frac{\mathrm{d}}{\mathrm{d}d}(-20449d^{2})$$

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

$$2\left(-20449\right)d^{2-1}$$

Multiply 2 times -20449.

$$-40898d^{2-1}$$

Subtract 1 from 2.

$$-40898d^{1}$$

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

$$-40898d$$