Solve (3n+7)+(2n-6)

$$( 3 n + 7 ) + ( 2 n - 6 )$$

Evaluate

$$5n+1$$

Solution Steps

Combine 3n and 2n to get 5n.

$$5n+7-6$$

Subtract 6 from 7 to get 1.

$$5n+1$$

Differentiate w.r.t. n

$$5$$

Steps Using Derivative Rule for Sum

Combine 3n and 2n to get 5n.

$$\frac{\mathrm{d}}{\mathrm{d}n}(5n+7-6)$$

Subtract 6 from 7 to get 1.

$$\frac{\mathrm{d}}{\mathrm{d}n}(5n+1)$$

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}.

$$5n^{1-1}$$

Subtract 1 from 1.

$$5n^{0}$$

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

$$5\times 1$$

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

$$5$$