Solve 12%text{of}2000m

$$12 \% \text { of } 2000 m$$

Evaluate

$$240m$$

Solution Steps

Reduce the fraction \frac{12}{100} to lowest terms by extracting and canceling out 4.

$$\frac{3}{25}\times 2000m$$

Express \frac{3}{25}\times 2000 as a single fraction.

$$\frac{3\times 2000}{25}m$$

Multiply 3 and 2000 to get 6000.

$$\frac{6000}{25}m$$

Divide 6000 by 25 to get 240.

$$240m$$

Differentiate w.r.t. m

$$240$$

Steps Using Definition of a Derivative

Reduce the fraction \frac{12}{100} to lowest terms by extracting and canceling out 4.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{3}{25}\times 2000m)$$

Express \frac{3}{25}\times 2000 as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{3\times 2000}{25}m)$$

Multiply 3 and 2000 to get 6000.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{6000}{25}m)$$

Divide 6000 by 25 to get 240.

$$\frac{\mathrm{d}}{\mathrm{d}m}(240m)$$

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

$$240m^{1-1}$$

Subtract 1 from 1.

$$240m^{0}$$

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

$$240\times 1$$

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

$$240$$