Solve 2n-2-7n-7

$$2 n - 2 - 7 n - 7$$

Evaluate

$$-5n-9$$

Solution Steps

Combine 2n and -7n to get -5n.

$$-5n-2-7$$

Subtract 7 from -2 to get -9.

$$-5n-9$$

Differentiate w.r.t. n

$$-5$$

Steps Using Derivative Rule for Sum

Combine 2n and -7n to get -5n.

$$\frac{\mathrm{d}}{\mathrm{d}n}(-5n-2-7)$$

Subtract 7 from -2 to get -9.

$$\frac{\mathrm{d}}{\mathrm{d}n}(-5n-9)$$

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}.

$$-5n^{1-1}$$

Subtract 1 from 1.

$$-5n^{0}$$

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

$$-5$$