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If for x (0,1/4), the derivative of tan^...

If for `x (0,1/4),` the derivative of `tan^(-1)((6xsqrt(x))/(1-9x^3))` is `sqrt(x)dotg(x),` then `g(x)` equals: `(3x)/(1-9x^3)` (2) `3/(1+9x^3)` (3) `9/(1+9x^3)` (4) `(3xsqrt(x))/(1-9x^3)`

A

`(9)/(1+9x^(3))`

B

`(3xsqrt(x))/(1-9x6^(3))`

C

`(3x)/(1-9x^(3))`

D

`(3x)/(1+9x^(3))`

Text Solution

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The correct Answer is:
A
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