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If `f(x)=x+tanx and g(x) is the `inverse` of `f(x)`, then `differentiation of g(x)` is (a)`1/(1+[g(x)-x]^2)` `(b) 1/(2-[g(x)+x]^2)` `(c)1/(2+[g(x)-x]^2)` `(d) none of these`

A

`(1)/(1 + (g(x) - x)^(2))`

B

`(1)/(2+(g(x)+x)^(2))`

C

`(1)/(2+(g(x)-x)^(2))`

D

None of these

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The correct Answer is:
C
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ARIHANT MATHS ENGLISH-CONTINUITY AND DIFFERENTIABILITY-Exercise (Questions Asked In Previous 13 Years Exam)
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