Solve (R66300div5/10)*3/10]

$$( R 66300 \div 5 / 10 ) \times 3 / 10 ]$$

Evaluate

$$\frac{3R_{66300}}{5}$$

Solution Steps

Divide R_{66300} by \frac{5}{10} by multiplying R_{66300} by the reciprocal of \frac{5}{10}.

$$\frac{R_{66300}\times 10}{5}\times \frac{3}{10}$$

Divide R_{66300}\times 10 by 5 to get R_{66300}\times 2.

$$R_{66300}\times 2\times \frac{3}{10}$$

Express 2\times \frac{3}{10} as a single fraction.

$$R_{66300}\times \frac{2\times 3}{10}$$

Multiply 2 and 3 to get 6.

$$R_{66300}\times \frac{6}{10}$$

Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$R_{66300}\times \frac{3}{5}$$

Differentiate w.r.t. R_66300

$$\frac{3}{5} = 0.6$$

Steps Using Definition of a Derivative

Divide R_{66300} by \frac{5}{10} by multiplying R_{66300} by the reciprocal of \frac{5}{10}.

$$\frac{\mathrm{d}}{\mathrm{d}R_{66300}}(\frac{R_{66300}\times 10}{5}\times \frac{3}{10})$$

Divide R_{66300}\times 10 by 5 to get R_{66300}\times 2.

$$\frac{\mathrm{d}}{\mathrm{d}R_{66300}}(R_{66300}\times 2\times \frac{3}{10})$$

Express 2\times \frac{3}{10} as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}R_{66300}}(R_{66300}\times \frac{2\times 3}{10})$$

Multiply 2 and 3 to get 6.

$$\frac{\mathrm{d}}{\mathrm{d}R_{66300}}(R_{66300}\times \frac{6}{10})$$

Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\mathrm{d}}{\mathrm{d}R_{66300}}(R_{66300}\times \frac{3}{5})$$

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

$$\frac{3}{5}R_{66300}^{1-1}$$

Subtract 1 from 1.

$$\frac{3}{5}R_{66300}^{0}$$

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

$$\frac{3}{5}\times 1$$

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

$$\frac{3}{5}$$