Solve 2*r*160/13

$$2 \times r \times 160 / 13$$

Evaluate

$$\frac{320r}{13}$$

Solution Steps

Express 2\times \frac{160}{13} as a single fraction.

$$\frac{2\times 160}{13}r$$

Multiply 2 and 160 to get 320.

$$\frac{320}{13}r$$

Differentiate w.r.t. r

$$\frac{320}{13} = 24\frac{8}{13} = 24.615384615384617$$

Steps Using Definition of a Derivative

Express 2\times \frac{160}{13} as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}r}(\frac{2\times 160}{13}r)$$

Multiply 2 and 160 to get 320.

$$\frac{\mathrm{d}}{\mathrm{d}r}(\frac{320}{13}r)$$

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

$$\frac{320}{13}r^{1-1}$$

Subtract 1 from 1.

$$\frac{320}{13}r^{0}$$

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

$$\frac{320}{13}\times 1$$

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

$$\frac{320}{13}$$