Solve m^2+2/m^2-2=

$$\frac { m ^ { 2 + 2 } } { m ^ { 2 - 2 } } =$$

Evaluate

$$m^{4}$$

Solution Steps

Add 2 and 2 to get 4.

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

Subtract 2 from 2 to get 0.

$$\frac{m^{4}}{m^{0}}$$

Calculate m to the power of 0 and get 1.

$$\frac{m^{4}}{1}$$

Anything divided by one gives itself.

$$m^{4}$$

Differentiate w.r.t. m

$$4m^{3}$$

Steps Using Definition of a Derivative

Add 2 and 2 to get 4.

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

Subtract 2 from 2 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{m^{4}}{m^{0}})$$

Calculate m to the power of 0 and get 1.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{m^{4}}{1})$$

Anything divided by one gives itself.

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

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

$$4m^{4-1}$$

Subtract 1 from 4.

$$4m^{3}$$