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If x=e^(theta)(theta+(1)/(theta)),y = e^...

If `x=e^(theta)(theta+(1)/(theta)),y = e^(-theta)(theta-( 1)/(theta))` then `(dy)/(dx)`

A

`e^(-2 theta)`

B

`(e^(-2theta)(1+theta^(2) - theta^(3) + theta))/(theta^(2) -1 + theta^(3) + theta)`

C

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

D

`(e^(-2theta)(1-theta^(2)-theta^(3) + theta))/(theta^(2)-1 + theta^(3) + theta)`

Text Solution

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The correct Answer is:
B
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