Solve 478/3.33*1000r16

$$\frac { 478 } { 3.33 \times 1000 } r 16$$

Evaluate

$$\frac{239r_{16}}{1665}$$

Solution Steps

Multiply 3.33 and 1000 to get 3330.

$$\frac{478}{3330}r_{16}$$

Reduce the fraction \frac{478}{3330} to lowest terms by extracting and canceling out 2.

$$\frac{239}{1665}r_{16}$$

Differentiate w.r.t. r_16

$$\frac{239}{1665} = 0.14354354354354354$$

Steps Using Definition of a Derivative

Multiply 3.33 and 1000 to get 3330.

$$\frac{\mathrm{d}}{\mathrm{d}r_{16}}(\frac{478}{3330}r_{16})$$

Reduce the fraction \frac{478}{3330} to lowest terms by extracting and canceling out 2.

$$\frac{\mathrm{d}}{\mathrm{d}r_{16}}(\frac{239}{1665}r_{16})$$

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

$$\frac{239}{1665}r_{16}^{1-1}$$

Subtract 1 from 1.

$$\frac{239}{1665}r_{16}^{0}$$

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

$$\frac{239}{1665}\times 1$$

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

$$\frac{239}{1665}$$