Solve r+12r+56

$$r + 12 r + 56$$

Differentiate w.r.t. r

$$13$$

Steps Using Derivative Rule for Sum

Combine r and 12r to get 13r.

$$\frac{\mathrm{d}}{\mathrm{d}r}(13r+56)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$13r^{1-1}$$

Subtract 1 from 1.

$$13r^{0}$$

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

$$13\times 1$$

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

$$13$$

Evaluate

$$13r+56$$

Solution Steps

Combine r and 12r to get 13r.

$$13r+56$$