Solve 14n-n+6-15

$$14 n - n + 6 - 15$$

Evaluate

$$13n-9$$

Solution Steps

Combine 14n and -n to get 13n.

$$13n+6-15$$

Subtract 15 from 6 to get -9.

$$13n-9$$

Differentiate w.r.t. n

$$13$$

Steps Using Derivative Rule for Sum

Combine 14n and -n to get 13n.

$$\frac{\mathrm{d}}{\mathrm{d}n}(13n+6-15)$$

Subtract 15 from 6 to get -9.

$$\frac{\mathrm{d}}{\mathrm{d}n}(13n-9)$$

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}.

$$13n^{1-1}$$

Subtract 1 from 1.

$$13n^{0}$$

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

$$13\times 1$$

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

$$13$$