Question
If $y=\sin ^{-1}\left(x \sqrt{1-x}-\sqrt{x-x^{3}}\right)$, find $\frac{d y}{d x}$
Step 1
Step 1: First, we can rewrite the given function as follows: \[y=\sin ^{-1}\left(\sqrt{1-x^{2}}-\sqrt{x(1-x)}\right)\] This can be seen as the difference of two inverse sine functions. Show more…
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