Which of the following implicit relations between and guarantees that any correctly…

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

Which of the following implicit relations between

x

and

y

guarantees that any correctly computed

\dfrac{dy}{dx}

will include a factor of

\csc^{2} y

for all points where

\sin y \neq 0

? (a)

x+\csc y=0

(b)

x\tan y+y=0

(c)

x+\cot y=0

(d)

x\csc y+y=0