Solve 36(-5/6r)

$$36 ( - \frac { 5 } { 6 } r )$$

Evaluate

$$-30r$$

Solution Steps

Express 36\left(-\frac{5}{6}\right) as a single fraction.

$$\frac{36\left(-5\right)}{6}r$$

Multiply 36 and -5 to get -180.

$$\frac{-180}{6}r$$

Divide -180 by 6 to get -30.

$$-30r$$

Differentiate w.r.t. r

$$-30$$

Steps Using Definition of a Derivative

Express 36\left(-\frac{5}{6}\right) as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}r}(\frac{36\left(-5\right)}{6}r)$$

Multiply 36 and -5 to get -180.

$$\frac{\mathrm{d}}{\mathrm{d}r}(\frac{-180}{6}r)$$

Divide -180 by 6 to get -30.

$$\frac{\mathrm{d}}{\mathrm{d}r}(-30r)$$

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

$$-30r^{1-1}$$

Subtract 1 from 1.

$$-30r^{0}$$

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

$$-30$$