Solve 2m:3.5m

$$2 m : 3.5 m$$

Evaluate

$$\frac{4m^{2}}{7}$$

Solution Steps

Divide 2m by 3.5 to get \frac{4}{7}m.

$$\frac{4}{7}mm$$

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

$$\frac{4}{7}m^{2}$$

Differentiate w.r.t. m

$$\frac{8m}{7}$$

Steps Using Definition of a Derivative

Divide 2m by 3.5 to get \frac{4}{7}m.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{4}{7}mm)$$

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

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{4}{7}m^{2})$$

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

$$2\times \frac{4}{7}m^{2-1}$$

Multiply 2 times \frac{4}{7}.

$$\frac{8}{7}m^{2-1}$$

Subtract 1 from 2.

$$\frac{8}{7}m^{1}$$

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

$$\frac{8}{7}m$$