Solve 3a+7a+10a

$$3 a + 7 a + 10 a$$

Evaluate

$$20a$$

Solution Steps

Combine 3a and 7a to get 10a.

$$10a+10a$$

Combine 10a and 10a to get 20a.

$$20a$$

Differentiate w.r.t. a

$$20$$

Steps Using Definition of a Derivative

Combine 3a and 7a to get 10a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(10a+10a)$$

Combine 10a and 10a to get 20a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(20a)$$

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

$$20a^{1-1}$$

Subtract 1 from 1.

$$20a^{0}$$

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

$$20\times 1$$

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

$$20$$