Solve -4k-9k-3k=

$$- 4 k - 9 k - 3 k =$$

Evaluate

$$-16k$$

Solution Steps

Combine -4k and -9k to get -13k.

$$-13k-3k$$

Combine -13k and -3k to get -16k.

$$-16k$$

Differentiate w.r.t. k

$$-16$$

Steps Using Definition of a Derivative

Combine -4k and -9k to get -13k.

$$\frac{\mathrm{d}}{\mathrm{d}k}(-13k-3k)$$

Combine -13k and -3k to get -16k.

$$\frac{\mathrm{d}}{\mathrm{d}k}(-16k)$$

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

$$-16k^{1-1}$$

Subtract 1 from 1.

$$-16k^{0}$$

For any term t except 0, t^{0}=1.

$$-16$$