Solve 4n-7n+2n+164

$$4 n - 7 n + 2 n + 164$$

Evaluate

$$164-n$$

Solution Steps

Combine 4n and -7n to get -3n.

$$-3n+2n+164$$

Combine -3n and 2n to get -n.

$$-n+164$$

Differentiate w.r.t. n

$$-1$$

Steps Using Derivative Rule for Sum

Combine 4n and -7n to get -3n.

$$\frac{\mathrm{d}}{\mathrm{d}n}(-3n+2n+164)$$

Combine -3n and 2n to get -n.

$$\frac{\mathrm{d}}{\mathrm{d}n}(-n+164)$$

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}.

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

Subtract 1 from 1.

$$-n^{0}$$

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

$$-1$$