Solve (2c)-(-7c)=

$$( 2 c ) - ( - 7 c ) =$$

Evaluate

$$9c$$

Solution Steps

The opposite of -7c is 7c.

$$2c+7c$$

Combine 2c and 7c to get 9c.

$$9c$$

Differentiate w.r.t. c

$$9$$

Steps Using Definition of a Derivative

The opposite of -7c is 7c.

$$\frac{\mathrm{d}}{\mathrm{d}c}(2c+7c)$$

Combine 2c and 7c to get 9c.

$$\frac{\mathrm{d}}{\mathrm{d}c}(9c)$$

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

$$9c^{1-1}$$

Subtract 1 from 1.

$$9c^{0}$$

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

$$9\times 1$$

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

$$9$$