Home
Class 12
MATHS
If x=asec^(3)theta,y=atan^(3)theta then ...

If `x=asec^(3)theta,y=atan^(3)theta` then find `(d^(2)y)/(dx^(2))` at `theta=pi/4`.

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(12a)`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PUBLICATION|Exercise (PART IX) Sample Questions |5 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PUBLICATION|Exercise (PART XI) QUESTION FOR PRACTICE (4 MARK) |7 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PUBLICATION|Exercise (PART VIII) QUESTION FOR PRACTICE (1 MARK) |2 Videos

  • CHSE ODISHA EXAMINATION PAPER 2020

    ARIHANT PUBLICATION|Exercise GROUP C (ANSWER ANY ONE QUESTIONS)|11 Videos

  • DETERMINANTS

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE |39 Videos

Similar Questions

Explore conceptually related problems

If x = acos^(3)theta , y = a sin^(3)theta ,then find (d^2y)/dx^(2)

If y=acost,x=asint , then find (d^(2)y)/(dx^(2)) at t=pi/3 .

If x=a(theta+sintheta) and y=a(1-cos theta) , then find (d^(2)y)/(dx^(2)) at theta=(pi)/(2) .

If x = 2costheta-cos2theta , y = 2sintheta-sin2theta then find d^(2)y/dx^(2) at theta =pi/2 .

inttan^3theta d theta

If x=acos^30theta,y=bsin^30theta, find dy/dx .

If x=a(cost+tsint) and y=a(sint-tcost) , then find (d^(2)y)/(dx^(2)) at t=(pi)/(4) .

If x^7y^3=(x+y)^10 , then find (d^2y)/(dx^2)

If x=asec theta, y=b tan theta , then prove that (d^(2)y)/(dx^(2))=-(b^(4))/(a^(2)y^(3))