Solve 22%text{of}25m

$$22 \% \text { of } 25 m$$

Evaluate

$$\frac{11m}{2}$$

Solution Steps

Reduce the fraction \frac{22}{100} to lowest terms by extracting and canceling out 2.

$$\frac{11}{50}\times 25m$$

Express \frac{11}{50}\times 25 as a single fraction.

$$\frac{11\times 25}{50}m$$

Multiply 11 and 25 to get 275.

$$\frac{275}{50}m$$

Reduce the fraction \frac{275}{50} to lowest terms by extracting and canceling out 25.

$$\frac{11}{2}m$$

Differentiate w.r.t. m

$$\frac{11}{2} = 5\frac{1}{2} = 5.5$$

Steps Using Definition of a Derivative

Reduce the fraction \frac{22}{100} to lowest terms by extracting and canceling out 2.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{11}{50}\times 25m)$$

Express \frac{11}{50}\times 25 as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{11\times 25}{50}m)$$

Multiply 11 and 25 to get 275.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{275}{50}m)$$

Reduce the fraction \frac{275}{50} to lowest terms by extracting and canceling out 25.

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

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

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

Subtract 1 from 1.

$$\frac{11}{2}m^{0}$$

For any term t except 0, t^{0}=1.

$$\frac{11}{2}\times 1$$

For any term t, t\times 1=t and 1t=t.

$$\frac{11}{2}$$