Solve n-17+9n+4

$$n - 17 + 9 n + 4$$

Evaluate

$$10n-13$$

Solution Steps

Combine n and 9n to get 10n.

$$10n-17+4$$

Add -17 and 4 to get -13.

$$10n-13$$

Differentiate w.r.t. n

$$10$$

Steps Using Derivative Rule for Sum

Combine n and 9n to get 10n.

$$\frac{\mathrm{d}}{\mathrm{d}n}(10n-17+4)$$

Add -17 and 4 to get -13.

$$\frac{\mathrm{d}}{\mathrm{d}n}(10n-13)$$

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}.

$$10n^{1-1}$$

Subtract 1 from 1.

$$10n^{0}$$

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

$$10\times 1$$

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

$$10$$