28. Derivative Find dy by dx if x^y + y^x = 1

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Комментарии
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implicit derivation rule
dy/dx=-Fx/Fy

Fx=y.x^(y-1) + y^x .lny (derivation for x)
Fy=x^y.lnx+x.y^(x-1) (derivation for y)

Solution:
dy/dx=-(y.x^(y-1) + y^x .lny)/(x^y.lnx+x.y^(x-1))

turkishwagnerian
Автор

It's too lengthy process.
X^y can be written as e^ylogx and y^x can be written as e^xlogy. Then you solve it very easily.

sudipnandi
Автор

Thankyou Sir lekin Hindi me aur achcha hota but mai samajh Gaya

imagineknowledge
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What can be done when add of this question is replace by product.????suggest me sir

dhirajsah
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can someone please explain the last step how yx^y/x = yn^y-1

kaushik.aryan
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