Solve 6a-(-3a)

$$6 a - ( - 3 a )$$

Evaluate

$$9a$$

Solution Steps

The opposite of -3a is 3a.

$$6a+3a$$

Combine 6a and 3a to get 9a.

$$9a$$

Differentiate w.r.t. a

$$9$$

Steps Using Definition of a Derivative

The opposite of -3a is 3a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(6a+3a)$$

Combine 6a and 3a to get 9a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(9a)$$

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

$$9a^{1-1}$$

Subtract 1 from 1.

$$9a^{0}$$

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

$$9\times 1$$

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

$$9$$