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

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

Evaluate

$$3a$$

Solution Steps

Combine 11a and -8a to get 3a.

$$3a-2a-3a+5a$$

Combine 3a and -2a to get a.

$$a-3a+5a$$

Combine a and -3a to get -2a.

$$-2a+5a$$

Combine -2a and 5a to get 3a.

$$3a$$

Differentiate w.r.t. a

$$3$$

Steps Using Definition of a Derivative

Combine 11a and -8a to get 3a.

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

Combine 3a and -2a to get a.

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

Combine a and -3a to get -2a.

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

Combine -2a and 5a to get 3a.

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

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

$$3a^{1-1}$$

Subtract 1 from 1.

$$3a^{0}$$

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

$$3\times 1$$

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

$$3$$