Solve piu^2/pi+pi

$$\frac { \pi u ^ { 2 } } { \pi + \pi }$$

Evaluate

$$\frac{u^{2}}{2}$$

Solution Steps

Combine \pi and \pi to get 2\pi .

$$\frac{\pi u^{2}}{2\pi }$$

Cancel out \pi in both numerator and denominator.

$$\frac{u^{2}}{2}$$

Differentiate w.r.t. u

$$u$$

Steps Using Definition of a Derivative

Combine \pi and \pi to get 2\pi .

$$\frac{\mathrm{d}}{\mathrm{d}u}(\frac{\pi u^{2}}{2\pi })$$

Cancel out \pi in both numerator and denominator.

$$\frac{\mathrm{d}}{\mathrm{d}u}(\frac{u^{2}}{2})$$

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

$$2\times \frac{1}{2}u^{2-1}$$

Multiply 2 times \frac{1}{2}.

$$u^{2-1}$$

Subtract 1 from 2.

$$u^{1}$$

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

$$u$$