Solve -pi/ycos(pi)

$$- \frac{ \pi }{ y } \cos ( \pi )$$

Evaluate

$$\frac{\pi }{y}$$

Solution Steps

Get the value of \cos(\pi ) from trigonometric values table.

$$\left(-\frac{\pi }{y}\right)\left(-1\right)$$

Multiply -1 and -1 to get 1.

$$\frac{\pi }{y}$$

Differentiate w.r.t. y

$$-\frac{\pi }{y^{2}}$$

Steps Using Definition of a Derivative

Get the value of \cos(\pi ) from trigonometric values table.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\left(-\frac{\pi }{y}\right)\left(-1\right))$$

Multiply -1 and -1 to get 1.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{\pi }{y})$$

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

$$-\pi y^{-1-1}$$

Multiply -1 times \pi .

$$\left(-\pi \right)y^{-1-1}$$

Subtract 1 from -1.

$$\left(-\pi \right)y^{-2}$$