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Find the differentiation of y=tan^(-1)((...

Find the differentiation of `y=tan^(-1)((x^(1//3)+a^(1//3))/(1-x^(1//3)a^(1//3)))`

A

`1/(3x^(2/3)(1+x^(2/3)))`

B

`a/(3x^(2/3)(1+x^(2/3)))`

C

`-1/(3x^(2/3)(1+x^(2/3)))`

D

`-a/(3x^(2/3)(1+x^(2/3)))`

Text Solution

Verified by Experts

The correct Answer is:
D
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