Solve 9+9n+9n-10

$$9 + 9 n + 9 n - 10$$

Evaluate

$$18n-1$$

Solution Steps

Combine 9n and 9n to get 18n.

$$9+18n-10$$

Subtract 10 from 9 to get -1.

$$-1+18n$$

Differentiate w.r.t. n

$$18$$

Steps Using Derivative Rule for Sum

Combine 9n and 9n to get 18n.

$$\frac{\mathrm{d}}{\mathrm{d}n}(9+18n-10)$$

Subtract 10 from 9 to get -1.

$$\frac{\mathrm{d}}{\mathrm{d}n}(-1+18n)$$

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}.

$$18n^{1-1}$$

Subtract 1 from 1.

$$18n^{0}$$

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

$$18\times 1$$

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

$$18$$