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Differentiate how? PART 1

Calculus Level 3

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

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

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations,
examples, and problems from the community.

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including olympiad champions, researchers, and professionals.

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by Dinesh Nath Goswami

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