Home
Class 11
MATHS
If y=(e^(x))/(x) then prove that x(dy)/(...

If `y=(e^(x))/(x)` then prove that `x(dy)/(dx)=y (x-1)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    NAGEEN PRAKASHAN ENGLISH|Exercise EX-13G|10 Videos

  • LIMITS AND DERIVATIVES

    NAGEEN PRAKASHAN ENGLISH|Exercise EX-13H|10 Videos

  • LIMITS AND DERIVATIVES

    NAGEEN PRAKASHAN ENGLISH|Exercise EX-13E|22 Videos

  • INTRODUCTION OF THREE DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|6 Videos

  • LINEAR INEQUALITIES

    NAGEEN PRAKASHAN ENGLISH|Exercise MISCELLANEOUS EXERCISE|14 Videos

Similar Questions

Explore conceptually related problems

If y =(x)/(x+5) then prove that x (dy)/(dx)=y(1-y)

If y=(x)/(x+5) , then prove that x (dy)/(dx) = y(1 - y)

If x = e^(x//y) , then prove that (dy)/(dx) = (x-y)/(xlogx) .

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

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

If y= (x)/( x+a) , prove that x (dy)/( dx) = y(1-y) .

If sec((x+y)/(x-y))=a , prove that (dy)/(dx)=y/x .

If y=x/(x+2) , prove that x(dy)/(dx)=(1-y)y

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

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