Solve (6a+6)+(-5a-5)

$$( 6 a + 6 ) + ( - 5 a - 5 )$$

Evaluate

$$a+1$$

Solution Steps

Combine 6a and -5a to get a.

$$a+6-5$$

Subtract 5 from 6 to get 1.

$$a+1$$

Differentiate w.r.t. a

$$1$$

Steps Using Derivative Rule for Sum

Combine 6a and -5a to get a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(a+6-5)$$

Subtract 5 from 6 to get 1.

$$\frac{\mathrm{d}}{\mathrm{d}a}(a+1)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$a^{1-1}$$

Subtract 1 from 1.

$$a^{0}$$

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

$$1$$