Compute d y d x . {\displaystyle {\frac {dy}{dx}}.}
(a) y = ( x 2 + 3 x 2 − 1 ) 3 {\displaystyle y={\bigg (}{\frac {x^{2}+3}{x^{2}-1}}{\bigg )}^{3}}
(b) y = x cos ( x + 1 ) {\displaystyle y=x\cos({\sqrt {x+1}})}
(c) y = sin − 1 x {\displaystyle y=\sin ^{-1}x}
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