Solve p%text{of}130

$$p \% \text { of } 130$$

Evaluate

$$\frac{13p}{10}$$

Solution Steps

Express \frac{p}{100}\times 130 as a single fraction.

$$\frac{p\times 130}{100}$$

Divide p\times 130 by 100 to get p\times \frac{13}{10}.

$$p\times \frac{13}{10}$$

Differentiate w.r.t. p

$$\frac{13}{10} = 1\frac{3}{10} = 1.3$$

Steps Using Definition of a Derivative

Express \frac{p}{100}\times 130 as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}p}(\frac{p\times 130}{100})$$

Divide p\times 130 by 100 to get p\times \frac{13}{10}.

$$\frac{\mathrm{d}}{\mathrm{d}p}(p\times \frac{13}{10})$$

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

$$\frac{13}{10}p^{1-1}$$

Subtract 1 from 1.

$$\frac{13}{10}p^{0}$$

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

$$\frac{13}{10}\times 1$$

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

$$\frac{13}{10}$$