A) \[\frac{1}{2(1+x)\sqrt{x}}\]
B) \[\frac{1}{(1+x)\sqrt{x}}\]
C) \[-\frac{1}{2(1+x)\sqrt{x}}\]
D) None of these
Correct Answer: C
Solution :
\[y={{\tan }^{-1}}\sqrt{a}-{{\tan }^{-1}}\sqrt{x}\] Differentiating w.r.t. x, we get, \[\frac{dy}{dx}=-\frac{1}{(1+x)}.\frac{1}{2\sqrt{x}}\].You need to login to perform this action.
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