Solve r/1.33/64

$$r / 1.33 / 64$$

Evaluate

$$\frac{6400r}{133}$$

Solution Steps

Divide r by \frac{1.33}{64} by multiplying r by the reciprocal of \frac{1.33}{64}.

$$\frac{r\times 64}{1.33}$$

Divide r\times 64 by 1.33 to get r\times \frac{6400}{133}.

$$r\times \frac{6400}{133}$$

Differentiate w.r.t. r

$$\frac{6400}{133} = 48\frac{16}{133} = 48.1203007518797$$

Steps Using Definition of a Derivative

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

$$\frac{6400}{133}r^{1-1}$$

Subtract 1 from 1.

$$\frac{6400}{133}r^{0}$$

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

$$\frac{6400}{133}\times 1$$

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

$$\frac{6400}{133}$$