Solve 12r+5+3r-5

$$12 r + 5 + 3 r - 5$$

Evaluate

$$15r$$

Solution Steps

Combine 12r and 3r to get 15r.

$$15r+5-5$$

Subtract 5 from 5 to get 0.

$$15r$$

Differentiate w.r.t. r

$$15$$

Steps Using Definition of a Derivative

Combine 12r and 3r to get 15r.

$$\frac{\mathrm{d}}{\mathrm{d}r}(15r+5-5)$$

Subtract 5 from 5 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}r}(15r)$$

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

$$15r^{1-1}$$

Subtract 1 from 1.

$$15r^{0}$$

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

$$15\times 1$$

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

$$15$$