Solve 1005/320mm

$$1005 / 320 m m$$

Evaluate

$$\frac{201m^{2}}{64}$$

Solution Steps

Multiply m and m to get m^{2}.

$$\frac{1005}{320}m^{2}$$

Reduce the fraction \frac{1005}{320} to lowest terms by extracting and canceling out 5.

$$\frac{201}{64}m^{2}$$

Differentiate w.r.t. m

$$\frac{201m}{32}$$

Steps Using Definition of a Derivative

Multiply m and m to get m^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{1005}{320}m^{2})$$

Reduce the fraction \frac{1005}{320} to lowest terms by extracting and canceling out 5.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{201}{64}m^{2})$$

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

$$2\times \frac{201}{64}m^{2-1}$$

Multiply 2 times \frac{201}{64}.

$$\frac{201}{32}m^{2-1}$$

Subtract 1 from 2.

$$\frac{201}{32}m^{1}$$

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

$$\frac{201}{32}m$$