Solve 7a-(-6a)=

$$7 a - ( - 6 a ) =$$

Evaluate

$$13a$$

Solution Steps

The opposite of -6a is 6a.

$$7a+6a$$

Combine 7a and 6a to get 13a.

$$13a$$

Differentiate w.r.t. a

$$13$$

Steps Using Definition of a Derivative

The opposite of -6a is 6a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(7a+6a)$$

Combine 7a and 6a to get 13a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(13a)$$

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

$$13a^{1-1}$$

Subtract 1 from 1.

$$13a^{0}$$

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

$$13\times 1$$

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

$$13$$