Home
Class 11
MATHS
Find the second order derivative if x an...

Find the second order derivative if x and y are given by
`x= a cos t`
`y = a sin t`

Text Solution

Verified by Experts

The correct Answer is:
`= - ( cosec^3 t)/( a)`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    FULL MARKS|Exercise EXERCISE 1|5 Videos

  • DIFFERENTIAL CALCULUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    FULL MARKS|Exercise EXERCISE 2 (Find the derivative of the following functions with respect to corresponding independent variables.)|20 Videos

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    FULL MARKS|Exercise ADDITIONAL QUESTIONS|33 Videos

  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    FULL MARKS|Exercise EXERCISE 9.6|25 Videos

Similar Questions

Explore conceptually related problems

Find the second order derivatives of the functions. e^(6x) cos 3x .

Find the second order derivatives of the functions given in Exercises 1 to 10. sin (log x) .

Find the derivatives of the following : x = a cos^(3) t , y = a sin^(3) t

Find the second order derivatives of the functions given in Exercises 1 to 10. x. cos x

Find the derivative of y = cos^-1 5x .

Find the second order derivatives of the functions given in Exercises 1 to 10. e^(x) sin 5x .

Find the derivative of y = sin e^(3x)

Find the derivative of y = e^sin x

Find the equation of tangent and normal to the curve given by x = 7 cos t and y = 2 sin t, t in R at any point on the curve.