Solve 1/frac{2{22mm}}

$$\frac { 1 } { \frac { 2 } { 22 m m } }$$

Evaluate

$$11m^{2}$$

Solution Steps

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

$$\frac{1}{\frac{2}{22m^{2}}}$$

Divide 1 by \frac{2}{22m^{2}} by multiplying 1 by the reciprocal of \frac{2}{22m^{2}}.

$$\frac{22m^{2}}{2}$$

Divide 22m^{2} by 2 to get 11m^{2}.

$$11m^{2}$$

Differentiate w.r.t. m

$$22m$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{1}{\frac{2}{22m^{2}}})$$

Divide 1 by \frac{2}{22m^{2}} by multiplying 1 by the reciprocal of \frac{2}{22m^{2}}.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{22m^{2}}{2})$$

Divide 22m^{2} by 2 to get 11m^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}m}(11m^{2})$$

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

$$2\times 11m^{2-1}$$

Multiply 2 times 11.

$$22m^{2-1}$$

Subtract 1 from 2.

$$22m^{1}$$

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

$$22m$$