Mathematics

Mathematics

Problem

For the relation

x=\cot y

with

0<y<\dfrac{\pi}{2}

, which statement describes the sign of

\dfrac{dy}{dx}

on this interval? a)

\dfrac{dy}{dx}

changes sign within the interval. b)

\dfrac{dy}{dx}

is negative for all such

y

. c)

\dfrac{dy}{dx}

is positive for all such

y

. d)

\dfrac{dy}{dx}

equals

0

at

y=\tfrac{\pi}{2}

and is negative elsewhere in the interval.

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