Solve 12:25quad12A17

$$12 : 25 \quad 12 A 17$$

Evaluate

$$\frac{144A_{17}}{25}$$

Solution Steps

Express \frac{12}{25}\times 12 as a single fraction.

$$\frac{12\times 12}{25}A_{17}$$

Multiply 12 and 12 to get 144.

$$\frac{144}{25}A_{17}$$

Differentiate w.r.t. A_17

$$\frac{144}{25} = 5\frac{19}{25} = 5.76$$

Steps Using Definition of a Derivative

Express \frac{12}{25}\times 12 as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}A_{17}}(\frac{12\times 12}{25}A_{17})$$

Multiply 12 and 12 to get 144.

$$\frac{\mathrm{d}}{\mathrm{d}A_{17}}(\frac{144}{25}A_{17})$$

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

$$\frac{144}{25}A_{17}^{1-1}$$

Subtract 1 from 1.

$$\frac{144}{25}A_{17}^{0}$$

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

$$\frac{144}{25}\times 1$$

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

$$\frac{144}{25}$$