Solve 6c+18c+18c

$$6 c + 18 c + 18 c$$

Evaluate

$$42c$$

Solution Steps

Combine 6c and 18c to get 24c.

$$24c+18c$$

Combine 24c and 18c to get 42c.

$$42c$$

Differentiate w.r.t. c

$$42$$

Steps Using Definition of a Derivative

Combine 6c and 18c to get 24c.

$$\frac{\mathrm{d}}{\mathrm{d}c}(24c+18c)$$

Combine 24c and 18c to get 42c.

$$\frac{\mathrm{d}}{\mathrm{d}c}(42c)$$

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

$$42c^{1-1}$$

Subtract 1 from 1.

$$42c^{0}$$

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

$$42\times 1$$

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

$$42$$