Solve -8a+9a+6a

$$- 8 a + 9 a + 6 a$$

Evaluate

$$7a$$

Solution Steps

Combine -8a and 9a to get a.

$$a+6a$$

Combine a and 6a to get 7a.

$$7a$$

Differentiate w.r.t. a

$$7$$

Steps Using Definition of a Derivative

Combine -8a and 9a to get a.

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

Combine a and 6a to get 7a.

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

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

$$7a^{1-1}$$

Subtract 1 from 1.

$$7a^{0}$$

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

$$7\times 1$$

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

$$7$$