Solve 9a-3a+5a

$$9 a - 3 a + 5 a$$

Evaluate

$$11a$$

Solution Steps

Combine 9a and -3a to get 6a.

$$6a+5a$$

Combine 6a and 5a to get 11a.

$$11a$$

Differentiate w.r.t. a

$$11$$

Steps Using Definition of a Derivative

Combine 9a and -3a to get 6a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(6a+5a)$$

Combine 6a and 5a to get 11a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(11a)$$

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

$$11a^{1-1}$$

Subtract 1 from 1.

$$11a^{0}$$

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

$$11\times 1$$

For any term t, t\times 1=t and 1t=t.

$$11$$