If e ^ x + e ^ y = e ^ x+y . ( ^ means to the power ) . Find dy/dx.  

      Sir, please give the solution in details. This was a question in one of your episodes.

 

Asked by bidhanrout65 | 7th May, 2014, 06:41: AM

Expert Answer:

e to the power of x plus e to the power of y equals e to the power of x plus y end exponent  rightwards double arrow e to the power of x plus e to the power of y fraction numerator d y over denominator d x end fraction equals e to the power of x plus y end exponent space open parentheses 1 plus fraction numerator d y over denominator d x end fraction close parentheses  rightwards double arrow fraction numerator d y over denominator d x end fraction equals fraction numerator e to the power of x open parentheses 1 minus e to the power of y close parentheses over denominator e to the power of y open parentheses e to the power of x minus 1 close parentheses end fraction

Answered by Avinash Soni | 7th May, 2014, 09:17: AM

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