Home
Class 12
MATHS
If e^y(x+1)=1 show that y'' = (y')^2...

If `e^y(x+1)=1` show that y'' =` (y')^2`

Text Solution

Verified by Experts

The correct Answer is:
`((dy)/(dx))^3`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    OMEGA PUBLICATION|Exercise IMPORTANT QUESTIONS FROM MISCELLANEOUS EXERCISE|10 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    OMEGA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS |11 Videos

  • APPLICATION OF INTEGRALS

    OMEGA PUBLICATION|Exercise Multiple Choice Questions|16 Videos

  • DETERMINANTS

    OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs)|20 Videos

Similar Questions

Explore conceptually related problems

If e^y(x+1)=1 show that (d^2y/dx^2) = (dy/dx)^2 ਹੈ।

If y = 500e^(7x) , show that (d^2y)/(dx^2) = 49 y

If x^y = e^(x + y) , show that (dy)/(dx) = (log x - 2)/((1 - log x)^2)

If y = (e^x + e^-x)/(e^x - e^-x) , then show that (dy/dx) = 1 - y^2

If y = e^(4xtan^-1x) , then show that : (1 + x^2)^2 d^2y/dx^2 + 2x ( l +x^2 ) dy/dx= 16y .

If y = e^(m tan^-1 x) , then show that (1 +x^2) y_2 + (2x - m) y_1= 0 .

If e^x + e^y = e^(x +y) , prove that (dy)/(dx) = (e^x (e^y - 1))/(e^y (e^x - 1))