Solve 7c+4+6c-3+9c-1

$$7 c + 4 + 6 c - 3 + 9 c - 1$$

Evaluate

$$22c$$

Solution Steps

Combine 7c and 6c to get 13c.

$$13c+4-3+9c-1$$

Subtract 3 from 4 to get 1.

$$13c+1+9c-1$$

Combine 13c and 9c to get 22c.

$$22c+1-1$$

Subtract 1 from 1 to get 0.

$$22c$$

Differentiate w.r.t. c

$$22$$

Steps Using Definition of a Derivative

Combine 7c and 6c to get 13c.

$$\frac{\mathrm{d}}{\mathrm{d}c}(13c+4-3+9c-1)$$

Subtract 3 from 4 to get 1.

$$\frac{\mathrm{d}}{\mathrm{d}c}(13c+1+9c-1)$$

Combine 13c and 9c to get 22c.

$$\frac{\mathrm{d}}{\mathrm{d}c}(22c+1-1)$$

Subtract 1 from 1 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}c}(22c)$$

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

$$22c^{1-1}$$

Subtract 1 from 1.

$$22c^{0}$$

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

$$22\times 1$$

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

$$22$$