Solve 1005/3.20mm

$$1005 / 3.20 m m$$

Evaluate

$$67m^{2}$$

Solution Steps

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

$$\frac{1005}{3}\times 0.2m^{2}$$

Divide 1005 by 3 to get 335.

$$335\times 0.2m^{2}$$

Multiply 335 and 0.2 to get 67.

$$67m^{2}$$

Differentiate w.r.t. m

$$134m$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{1005}{3}\times 0.2m^{2})$$

Divide 1005 by 3 to get 335.

$$\frac{\mathrm{d}}{\mathrm{d}m}(335\times 0.2m^{2})$$

Multiply 335 and 0.2 to get 67.

$$\frac{\mathrm{d}}{\mathrm{d}m}(67m^{2})$$

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

$$2\times 67m^{2-1}$$

Multiply 2 times 67.

$$134m^{2-1}$$

Subtract 1 from 2.

$$134m^{1}$$

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

$$134m$$