Home
Class 11
MATHS
If y=tan^(-1)(5ax)/(a^2-6x^2) prove that...

If `y=tan^(-1)(5ax)/(a^2-6x^2)` prove that `dy/dx=(3a)/(a^2+9x^2)+(2a)/(a^2+4x^2)`

Answer

Step by step text solution for If y=tan^(-1)(5ax)/(a^2-6x^2) prove that dy/dx=(3a)/(a^2+9x^2)+(2a)/(a^2+4x^2) by MATHS experts to help you in doubts & scoring excellent marks in Class 11 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CONIC SECTION

    PATHFINDER|Exercise QUESTION BANK|25 Videos
  • FUNCTION

    PATHFINDER|Exercise QUESTION BANK|296 Videos

Similar Questions

Explore conceptually related problems

If tan^(-1)((2x)/(1-x^2)) ,then find dy/dx

If y="tan"^(-1)(4x)/(1+5x^(2))+"tan"^(-1)(2+3x)/(3-2x) , prove that, (dy)/(dx)=(5)/(1+25x^(2))

If log(x^2-y^2)/(x^2+Y^2)=a the prove that (dy/dx)=y/x

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

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

(x+2)(dy)/(dx)=4x^(2)y

(dy)/(dx)=(2x-3y)/(3x-2y)

(dy)/(dx)=(3x+2y)/(2x-3y)

(dy)/(dx)=(2x+3y)/(3x+2y)

In the parabola y^2=4ax , prove that (d^2y)/(dx^2).(d^2x)/(dy^2)=(-2a)/y^3