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Question

The derivative of cos1(x1xx1+x) at x=1 is


A
- 2
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B
- 1
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C
1
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Solution

The correct option is C 1
We have, y=cos1(x1xx1+x)y=cos1(1x21+x2)
Now, Put x=tanθ
We get y=cos1(1tan2θ1+tan2θ)y=cos1(cos2θ)y=2θy=2tan1xdydx=21+x2dydx|x=1=21+(1)2=2
 

Mathematics

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