Solve (12a-7)+(4-5a)

$$( 12 a - 7 ) + ( 4 - 5 a )$$

Evaluate

$$7a-3$$

Solution Steps

Add -7 and 4 to get -3.

$$12a-3-5a$$

Combine 12a and -5a to get 7a.

$$7a-3$$

Differentiate w.r.t. a

$$7$$

Steps Using Derivative Rule for Sum

Add -7 and 4 to get -3.

$$\frac{\mathrm{d}}{\mathrm{d}a}(12a-3-5a)$$

Combine 12a and -5a to get 7a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(7a-3)$$

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}.

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

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.

$$7$$