Calculate dy/dx if Ln (x + y) = ex/y

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15-01-2018
Mathematics

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Calculate dy/dx if Ln (x + y) = ex/y

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Edufirst Edufirst · Answer 1 · 2018-01-15T10:56:28+01:00

Edufirst Edufirst

15-01-2018

Assuming that the given expression is [tex]ln(x+y)= e^{x/y} [/tex]

You calculate dy / dx = y' as:

1
-------. y' = e^(x/y) * (-x/y^2)
x + y

=> y' = e^(x/y) * (-x/y^2) * (x + y).

Answer dy / dx = - e^(x/y) (x/y^2) (x+y)

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