Solve -8*c-2*c--1

$$- 8 \cdot c - 2 \cdot c - - 1$$

Evaluate

$$1-10c$$

Solution Steps

Combine -8c and -2c to get -10c.

$$-10c-\left(-1\right)$$

The opposite of -1 is 1.

$$-10c+1$$

Differentiate w.r.t. c

$$-10$$

Steps Using Derivative Rule for Sum

Combine -8c and -2c to get -10c.

$$\frac{\mathrm{d}}{\mathrm{d}c}(-10c-\left(-1\right))$$

The opposite of -1 is 1.

$$\frac{\mathrm{d}}{\mathrm{d}c}(-10c+1)$$

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}.

$$-10c^{1-1}$$

Subtract 1 from 1.

$$-10c^{0}$$

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

$$-10$$