Question

Let \[y=\sin^{-1}x\]. What inverse relation is used for implicit differentiation?

Options

• \[x=\cos y\]

• \[y=\cos x\]

• \[x=\sin y\]

• \[y=\sin x\]

Answer 1

If \[y=\sin^{-1}x\], then the inverse relation is \[x=\sin y\]. This relation permits implicit differentiation with respect to \[x\].