Solve n+n+n-n

$$n + n + n - n$$

Evaluate

$$2n$$

Solution Steps

Combine n and n to get 2n.

$$2n+n-n$$

Combine 2n and n to get 3n.

$$3n-n$$

Combine 3n and -n to get 2n.

$$2n$$

Differentiate w.r.t. n

$$2$$

Steps Using Definition of a Derivative

Combine n and n to get 2n.

$$\frac{\mathrm{d}}{\mathrm{d}n}(2n+n-n)$$

Combine 2n and n to get 3n.

$$\frac{\mathrm{d}}{\mathrm{d}n}(3n-n)$$

Combine 3n and -n to get 2n.

$$\frac{\mathrm{d}}{\mathrm{d}n}(2n)$$

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

$$2n^{1-1}$$

Subtract 1 from 1.

$$2n^{0}$$

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

$$2\times 1$$

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

$$2$$