Solve 100*200mm

$$100 \times 200 mm$$

Evaluate

$$20000m^{2}$$

Solution Steps

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

$$100\times 200m^{2}$$

Multiply 100 and 200 to get 20000.

$$20000m^{2}$$

Differentiate w.r.t. m

$$40000m$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}m}(100\times 200m^{2})$$

Multiply 100 and 200 to get 20000.

$$\frac{\mathrm{d}}{\mathrm{d}m}(20000m^{2})$$

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

$$2\times 20000m^{2-1}$$

Multiply 2 times 20000.

$$40000m^{2-1}$$

Subtract 1 from 2.

$$40000m^{1}$$

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

$$40000m$$