Solve 3/r*1000=

$$\frac { 3 } { r } \cdot 1000 =$$

Evaluate

$$\frac{3000}{r}$$

Solution Steps

Express \frac{3}{r}\times 1000 as a single fraction.

$$\frac{3\times 1000}{r}$$

Multiply 3 and 1000 to get 3000.

$$\frac{3000}{r}$$

Differentiate w.r.t. r

$$-\frac{3000}{r^{2}}$$

Steps Using Definition of a Derivative

Express \frac{3}{r}\times 1000 as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}r}(\frac{3\times 1000}{r})$$

Multiply 3 and 1000 to get 3000.

$$\frac{\mathrm{d}}{\mathrm{d}r}(\frac{3000}{r})$$

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

$$-3000r^{-1-1}$$

Subtract 1 from -1.

$$-3000r^{-2}$$