Considering the equation
$$x^y+y^z+z^x=k $$ defined for $x,y$ and $z$ all positive and $k$ is a positive constant.
To find $$\partial z/\partial x$$
Thanks.
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1Where is your problem ? What have you tried ? Does $y$ depend on $x$ ? – user90369 Mar 06 '17 at 11:37
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I tried taking logarithm and am stuck. $y$ doesn't depend on $x$. – nsus Mar 06 '17 at 11:45
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1Do you already know about the implicit function theorem ? – Claude Leibovici Mar 06 '17 at 11:46
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@ClaudeLeibovici I don't. Let me see – nsus Mar 06 '17 at 11:51
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Got it. Thanks guys. – nsus Mar 06 '17 at 12:06