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If y^(x) = e^(y -x), prove that (dy)/(dx...

If `y^(x) = e^(y -x)`, prove that `(dy)/(dx) = ((1 + log y)^2)/(log y)`.

A

`y/(1+ log y)`

B

`(x-y)/(1+ log y)^(2))`

C

(x-y)/(1+ log y)

D

`(log Y)/((1+logy)^(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
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