Solve 7n+4n+9-6

$$7 n + 4 n + 9 - 6$$

Evaluate

$$11n+3$$

Solution Steps

Combine 7n and 4n to get 11n.

$$11n+9-6$$

Subtract 6 from 9 to get 3.

$$11n+3$$

Differentiate w.r.t. n

$$11$$

Steps Using Derivative Rule for Sum

Combine 7n and 4n to get 11n.

$$\frac{\mathrm{d}}{\mathrm{d}n}(11n+9-6)$$

Subtract 6 from 9 to get 3.

$$\frac{\mathrm{d}}{\mathrm{d}n}(11n+3)$$

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}.

$$11n^{1-1}$$

Subtract 1 from 1.

$$11n^{0}$$

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

$$11\times 1$$

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

$$11$$