Solve 6mdiv20000=

$$6 m \div 20000 =$$

Differentiate w.r.t. m

$$\frac{3}{10000} = 0.0003$$

Steps Using Definition of a Derivative

Divide 6m by 20000 to get \frac{3}{10000}m.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{3}{10000}m)$$

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

$$\frac{3}{10000}m^{1-1}$$

Subtract 1 from 1.

$$\frac{3}{10000}m^{0}$$

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

$$\frac{3}{10000}\times 1$$

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

$$\frac{3}{10000}$$

Evaluate

$$\frac{3m}{10000}$$

Solution Steps

Divide 6m by 20000 to get \frac{3}{10000}m.

$$\frac{3}{10000}m$$