rainbowwedell
rainbowwedell
15-01-2018
Mathematics
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Calculate dy/dx if Ln (x + y) = ex/y
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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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