Home
Class 12
MATHS
If (x^2)/(a^2)+(y^2)/(b^2)=1 , find (dy)...

If `(x^2)/(a^2)+(y^2)/(b^2)=1` , find `(dy)/(dx)`

Text Solution

AI Generated Solution

To find \(\frac{dy}{dx}\) for the equation \[ \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1, \] we will differentiate both sides with respect to \(x\). ...
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|102 Videos
  • DIRECTION COSINES AND DIRECTION RATIOS

    RD SHARMA|Exercise Solved Examples And Exercises|67 Videos

Similar Questions

Explore conceptually related problems

y=(1)/(x^(2)) , find (dy)/(dx)

y=(1+x^2)/(1-x^2) , find dy/dx

" If (x^(2))/(a^(2))-(y^(2))/(b^(3))=1 then " (dy)/(dx)=

If x^2/a^2 - y^2/b^2 =1 then (dy)/(dx)=

y=x^(2)+(1)/(x^(2)) . Find (dy)/(dx)

If y=(x+(1)/(x))^(x)+(x^(2)+1)/(x^(2)-1), find (dy)/(dx)

x^2y=1 find dy/dx

If y=(1)/(sqrt(a^(2)-x^(2)) , find (dy)/(dx) .

cos^(-1)((x^(2)-y^(2))/(x^(2)+y^(2)))=log a find (dy)/(dx)

y = (1 -tan^(2) (x//2))/(1 + tan^(2)(x//2)) , " find " (dy)/(dx)