Solve c-2-10:(-5)

$$c - 2 - 10 : ( - 5 )$$

Evaluate

$$c$$

Solution Steps

Divide 10 by -5 to get -2.

$$c-2-\left(-2\right)$$

The opposite of -2 is 2.

$$c-2+2$$

Add -2 and 2 to get 0.

$$c$$

Differentiate w.r.t. c

$$1$$

Steps Using Definition of a Derivative

Divide 10 by -5 to get -2.

$$\frac{\mathrm{d}}{\mathrm{d}c}(c-2-\left(-2\right))$$

The opposite of -2 is 2.

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

Add -2 and 2 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}c}(c)$$

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

$$c^{1-1}$$

Subtract 1 from 1.

$$c^{0}$$

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

$$1$$