Home
Class 12
MATHS
If x =2 cos theta - cos 2 theta y =...

If ` x =2 cos theta - cos 2 theta `
` y = 2 sin theta - sin 2 theta`
Find ` (d^(2)y)/(dx^(2)) `at `theta = pi/2`

Text Solution

AI Generated Solution

To find \(\frac{d^2y}{dx^2}\) at \(\theta = \frac{\pi}{2}\), we will follow these steps: ### Step 1: Find \(\frac{dy}{d\theta}\) and \(\frac{dx}{d\theta}\) Given: \[ x = 2 \cos \theta - \cos 2\theta \] ...
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE ENGLISH|Exercise Try youself|16 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE ENGLISH|Exercise Assignment ( section -A)|61 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - J ( Aakash Challengers Questions )|16 Videos
  • DETERMINANTS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - J|12 Videos

Similar Questions

Explore conceptually related problems

if x = "cos" theta - "cos" 2 theta, y = "sin" theta - "sin" 2 theta , then dy/dx is

If x = 2 cos theta - cos 2theta and y = 2 sin theta - sin 2theta then prove that : (dy)/(dx)=tan (3 theta)/(2)

Find (dy)/(dx) if x=cos theta - cos 2 theta and" "y = sin theta - sin 2theta

If x = 3 cos theta - 2 cos^3 theta,y = 3 sin theta - 2 sin^3 theta , then dy/dx is

If x = a( sin theta - theta cos theta) and y = a ( cos theta + theta sin theta) " find " (dy)/(dx) at theta = pi/4

Find (dy)/(dx) if x= 3 cos theta - cos 2theta and y= sin theta - sin 2theta.

If x=a(cos 2 theta+2 theta sin 2 theta) " and" y=a(sin 2 theta - 2 theta cos 2 theta) , find (d^(2)y)/(dx^(2)) " at" theta =(pi)/(8) .

Let x = 2sintheta - sin2theta and y = 2costheta - cos2theta find (d^2 y)/(dx^2) at theta= pi

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

If x= a sin 2theta (1+ cos 2theta) , y= b cos 2theta(1- cos 2theta) , then (dy)/(dx) =