Solve c+c+c+c

$$c+c+c+c$$

Evaluate

$$4c$$

Solution Steps

Combine c and c to get 2c.

$$2c+c+c$$

Combine 2c and c to get 3c.

$$3c+c$$

Combine 3c and c to get 4c.

$$4c$$

Differentiate w.r.t. c

$$4$$

Steps Using Definition of a Derivative

Combine c and c to get 2c.

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

Combine 2c and c to get 3c.

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

Combine 3c and c to get 4c.

$$\frac{\mathrm{d}}{\mathrm{d}c}(4c)$$

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

$$4c^{1-1}$$

Subtract 1 from 1.

$$4c^{0}$$

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

$$4\times 1$$

For any term t, t\times 1=t and 1t=t.

$$4$$