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If `Xpowery + Ypowerx = Apowerb`Then Find `Dybydx`

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Question

if `x^y + y^x = a^b`then Find `dy/dx`

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Solution

Given that,

`x^y + y^x = a^b`
=> `e^(ylogx) + e^(xlogy) = a^b`

On differentiating both sides with respect to x, we get

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2016-2017 (March) All India Set 1
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