Solve 2a+11a+8a-3a+4a

$$2 a + 11 a + 8 a - 3 a + 4 a$$

Evaluate

$$22a$$

Solution Steps

Combine 2a and 11a to get 13a.

$$13a+8a-3a+4a$$

Combine 13a and 8a to get 21a.

$$21a-3a+4a$$

Combine 21a and -3a to get 18a.

$$18a+4a$$

Combine 18a and 4a to get 22a.

$$22a$$

Differentiate w.r.t. a

$$22$$

Steps Using Definition of a Derivative

Combine 2a and 11a to get 13a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(13a+8a-3a+4a)$$

Combine 13a and 8a to get 21a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(21a-3a+4a)$$

Combine 21a and -3a to get 18a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(18a+4a)$$

Combine 18a and 4a to get 22a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(22a)$$

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

$$22a^{1-1}$$

Subtract 1 from 1.

$$22a^{0}$$

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

$$22\times 1$$

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

$$22$$