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If cosx^y+siny^x=k then find dy/dx

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If cosx^y+siny^x=k then find dy/dx
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Shreyansh Jain 5 years, 8 months ago

Let cosx^y = u and cosy^x = v Taking log both sides y log (cos x) =log u and x log (cos y ) = log v Now , differentiating both sides .. Like this we will get du/dx & dv/dx u +v =k (as per our assumption ) Therefore , du/dx +dv/dx = 0 Now put the values of du/dx & dv/dx .. And you will get your ans
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