Solve 15n+4n+3n

$$15 n + 4 n + 3 n$$

Evaluate

$$22n$$

Solution Steps

Combine 15n and 4n to get 19n.

$$19n+3n$$

Combine 19n and 3n to get 22n.

$$22n$$

Differentiate w.r.t. n

$$22$$

Steps Using Definition of a Derivative

Combine 15n and 4n to get 19n.

$$\frac{\mathrm{d}}{\mathrm{d}n}(19n+3n)$$

Combine 19n and 3n to get 22n.

$$\frac{\mathrm{d}}{\mathrm{d}n}(22n)$$

The derivative of ax^{n} is nax^{n-1}.

$$22n^{1-1}$$

Subtract 1 from 1.

$$22n^{0}$$

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

$$22\times 1$$

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

$$22$$