Solve 2134mm/1000

$$\frac{ 2134mm }{ 1000 }$$

Evaluate

$$\frac{1067m^{2}}{500}$$

Solution Steps

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

$$\frac{2134m^{2}}{1000}$$

Divide 2134m^{2} by 1000 to get \frac{1067}{500}m^{2}.

$$\frac{1067}{500}m^{2}$$

Differentiate w.r.t. m

$$\frac{1067m}{250}$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{2134m^{2}}{1000})$$

Divide 2134m^{2} by 1000 to get \frac{1067}{500}m^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{1067}{500}m^{2})$$

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

$$2\times \frac{1067}{500}m^{2-1}$$

Multiply 2 times \frac{1067}{500}.

$$\frac{1067}{250}m^{2-1}$$

Subtract 1 from 2.

$$\frac{1067}{250}m^{1}$$

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

$$\frac{1067}{250}m$$