Solve (-8)(1/4r)

$$( - 8 ) ( \frac { 1 } { 4 } r )$$

Evaluate

$$-2r$$

Solution Steps

Multiply -8 and \frac{1}{4} to get \frac{-8}{4}.

$$\frac{-8}{4}r$$

Divide -8 by 4 to get -2.

$$-2r$$

Differentiate w.r.t. r

$$-2$$

Steps Using Definition of a Derivative

Multiply -8 and \frac{1}{4} to get \frac{-8}{4}.

$$\frac{\mathrm{d}}{\mathrm{d}r}(\frac{-8}{4}r)$$

Divide -8 by 4 to get -2.

$$\frac{\mathrm{d}}{\mathrm{d}r}(-2r)$$

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

$$-2r^{1-1}$$

Subtract 1 from 1.

$$-2r^{0}$$

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

$$-2$$