Solve 12r-3r-8r

$$12 r - 3 r - 8 r$$

Evaluate

$$r$$

Solution Steps

Combine 12r and -3r to get 9r.

$$9r-8r$$

Combine 9r and -8r to get r.

$$r$$

Differentiate w.r.t. r

$$1$$

Steps Using Definition of a Derivative

Combine 12r and -3r to get 9r.

$$\frac{\mathrm{d}}{\mathrm{d}r}(9r-8r)$$

Combine 9r and -8r to get r.

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

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

$$r^{1-1}$$

Subtract 1 from 1.

$$r^{0}$$

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

$$1$$