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Q.

If y=tan−1⁡log⁡ex2log⁡ex2+tan−1⁡3+2log⁡x1−6log⁡x then dydxx−2+dydxx−3=

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a

-6

b

2

c

0

d

-2

answer is C.

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Detailed Solution

y=tan−1⁡1−2log⁡x1+2log⁡x+tan−1⁡3+2log⁡x1−6log⁡x=tan−1⁡1−2log⁡x1+2log⁡x+3+2log⁡x1−6log⁡x1−1−2log⁡x1+2log⁡x3+2log⁡x1−6log⁡x=tan−1⁡(−2)⇒dydx=0⇒dydxx=2+dydxx=3=0
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