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If y =tan ^(-1)((x ^(1//3) -a^(1//3))/(1...

If `y =tan ^(-1)((x ^(1//3) -a^(1//3))/(1+x ^(1//3)a ^(1//3))), x gt 0, a gt 0, then (dy)/(dx)` is:

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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