Solve (2a+6)+(3a-2)

$$( 2 a + 6 ) + ( 3 a - 2 )$$

Evaluate

$$5a+4$$

Solution Steps

Combine 2a and 3a to get 5a.

$$5a+6-2$$

Subtract 2 from 6 to get 4.

$$5a+4$$

Differentiate w.r.t. a

$$5$$

Steps Using Derivative Rule for Sum

Combine 2a and 3a to get 5a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(5a+6-2)$$

Subtract 2 from 6 to get 4.

$$\frac{\mathrm{d}}{\mathrm{d}a}(5a+4)$$

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}.

$$5a^{1-1}$$

Subtract 1 from 1.

$$5a^{0}$$

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

$$5\times 1$$

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

$$5$$