Solve 5a+27a-a

$$5 a + 27 a - a$$

Evaluate

$$31a$$

Solution Steps

Combine 5a and 27a to get 32a.

$$32a-a$$

Combine 32a and -a to get 31a.

$$31a$$

Differentiate w.r.t. a

$$31$$

Steps Using Definition of a Derivative

Combine 5a and 27a to get 32a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(32a-a)$$

Combine 32a and -a to get 31a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(31a)$$

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

$$31a^{1-1}$$

Subtract 1 from 1.

$$31a^{0}$$

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

$$31\times 1$$

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

$$31$$