Solve 30a-14a-18a

$$30 a - 14 a - 18 a$$

Evaluate

$$-2a$$

Solution Steps

Combine 30a and -14a to get 16a.

$$16a-18a$$

Combine 16a and -18a to get -2a.

$$-2a$$

Differentiate w.r.t. a

$$-2$$

Steps Using Definition of a Derivative

Combine 30a and -14a to get 16a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(16a-18a)$$

Combine 16a and -18a to get -2a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(-2a)$$

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

$$-2a^{1-1}$$

Subtract 1 from 1.

$$-2a^{0}$$

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

$$-2$$