Solve -4a+11a-2a-5a+8a+3a

$$- 4 a + 11 a - 2 a - 5 a + 8 a + 3 a$$

Evaluate

$$11a$$

Solution Steps

Combine -4a and 11a to get 7a.

$$7a-2a-5a+8a+3a$$

Combine 7a and -2a to get 5a.

$$5a-5a+8a+3a$$

Combine 5a and -5a to get 0.

$$8a+3a$$

Combine 8a and 3a to get 11a.

$$11a$$

Differentiate w.r.t. a

$$11$$

Steps Using Definition of a Derivative

Combine -4a and 11a to get 7a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(7a-2a-5a+8a+3a)$$

Combine 7a and -2a to get 5a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(5a-5a+8a+3a)$$

Combine 5a and -5a to get 0.

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

Combine 8a and 3a 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.

$$11$$