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Differentiate how? PART 1

Calculus Level 2

If \({ x }^{ y }={ e }^{ x-y }\), then \(\frac { dy }{ dx } =\)

\[\frac { x-y }{ (1+\log { x)^{ 2 } } }\] \[\frac { y-x }{ x(1+\log { x) } }\] \[\frac { \log { x } }{ (1+\log { x)^{ 2 } } }\] \[\frac { x-y }{ 1+\log { x } }\]

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by Dinesh Nath Goswami

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