Question

If e^y(x + 1) = 1, prove that d²y/dx²=(dy/dx) ².​

Answer 1

Answer:

Step-by-step explanation: e^y= 1/ (1+x)...................1

                                    then    e^y dy/dx = -1/(1+x)²

                                             differentiate again

                                           e^y d²y/dx² +e^y (dy/dx)² = 2/(1+x)³

                                            e^y(d²y/dx² +  (dy/dx)² )= 2/(1+x)²(1+x)

                      from 1 put the value and solving gives u the answer

                                    hope u got it mate..........

                             

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