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If y = log ((1-x^(2))/(1+x^(2))), then...

If ` y = log ((1-x^(2))/(1+x^(2)))`, then `(dy)/(dx)` is equal to

A

`(4x^(3))/(1 -x^(4))`

B

`(-4x)/(1 -x^(4))`

C

`(1)/(4 -x^(4))`

D

`(-4x^(3))/(1 - x^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
We have , `y = f(x^(2) + 2)`
` dy/dx = f'(x^(2) + 2)* 2x `
On putting x = 1 , we get
` (dy)/(dx) = 2f'(3)`
` = 2 xx 5 " " [ because f'(3) = 5]`
` = 10 `
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