Solve 0a-4c+c

$$0 a - 4 c + c$$

Evaluate

$$-3c$$

Solution Steps

Anything times zero gives zero.

$$0-4c+c$$

Combine -4c and c to get -3c.

$$0-3c$$

Anything plus zero gives itself.

$$-3c$$

Differentiate w.r.t. c

$$-3$$

Steps Using Definition of a Derivative

Anything times zero gives zero.

$$\frac{\mathrm{d}}{\mathrm{d}c}(0-4c+c)$$

Combine -4c and c to get -3c.

$$\frac{\mathrm{d}}{\mathrm{d}c}(0-3c)$$

Anything plus zero gives itself.

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

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

$$-3c^{1-1}$$

Subtract 1 from 1.

$$-3c^{0}$$

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

$$-3$$