\[\frac{d}{dx}\left[ \left( \frac{{{\tan }^{2}}2x-{{\tan }^{2}}x}{1-{{\tan }^{2}}2x{{\tan }^{2}}x} \right)\cot 3x \right]\] [AMU 2000]

\[\frac{d}{dx}\left[ \left( \frac{{{\tan }^{2}}2x-{{\tan }^{2}}x}{1-{{

1.	\[\frac{d}{dx}\left[ \left( \frac{{{\tan }^{2}}2x-{{\tan }^{2}}x}{1-{{\tan }^{2}}2x{{\tan }^{2}}x} \right)\cot 3x \right]\] [AMU 2000]
A.	\[\tan 2x\,\tan x\]
B.	\[\tan 3x\tan x\]
C.	\[{{\sec }^{2}}x\]
D.	\[\sec x\tan x\]
Answer» D. \[\sec x\tan x\]

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\[\frac{d}{dx}\left[ \left( \frac{{{\tan }^{2}}2x-{{\tan }^{2}}x}{1-{{\tan }^{2}}2x{{\tan }^{2}}x} \right)\cot 3x \right]\] [AMU 2000]

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