Solve -2/P/pi*2/P/pi

$$- \frac { \frac { 2 } { P } } { \pi } \cdot \frac { \frac { 2 } { P } } { \pi }$$

Evaluate

$$-\frac{4}{\left(\pi P\right)^{2}}$$

Solution Steps

Express \frac{\frac{2}{P}}{\pi } as a single fraction.

$$\left(-\frac{2}{P\pi }\right)\times \frac{\frac{2}{P}}{\pi }$$

Express \frac{\frac{2}{P}}{\pi } as a single fraction.

$$\left(-\frac{2}{P\pi }\right)\times \frac{2}{P\pi }$$

Multiply -\frac{2}{P\pi } times \frac{2}{P\pi } by multiplying numerator times numerator and denominator times denominator.

$$\frac{-2\times 2}{P\pi P\pi }$$

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

$$\frac{-2\times 2}{P^{2}\pi \pi }$$

Multiply \pi and \pi to get \pi ^{2}.

$$\frac{-2\times 2}{P^{2}\pi ^{2}}$$

Multiply -2 and 2 to get -4.

$$\frac{-4}{P^{2}\pi ^{2}}$$

Differentiate w.r.t. P

$$\frac{8}{\pi ^{2}P^{3}}$$