Solve 3/5*R*12300

$$\frac { 3 } { 5 } \times R \times 12300$$

Evaluate

$$7380R$$

Solution Steps

Express \frac{3}{5}\times 12300 as a single fraction.

$$\frac{3\times 12300}{5}R$$

Multiply 3 and 12300 to get 36900.

$$\frac{36900}{5}R$$

Divide 36900 by 5 to get 7380.

$$7380R$$

Differentiate w.r.t. R

$$7380$$

Steps Using Definition of a Derivative

Express \frac{3}{5}\times 12300 as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}R}(\frac{3\times 12300}{5}R)$$

Multiply 3 and 12300 to get 36900.

$$\frac{\mathrm{d}}{\mathrm{d}R}(\frac{36900}{5}R)$$

Divide 36900 by 5 to get 7380.

$$\frac{\mathrm{d}}{\mathrm{d}R}(7380R)$$

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

$$7380R^{1-1}$$

Subtract 1 from 1.

$$7380R^{0}$$

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

$$7380\times 1$$

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

$$7380$$