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If x=acos^3theta,y=bsin^3theta,fin d(d^3...

If `x=acos^3theta,y=bsin^3theta,fin d(d^3y)/(dx^3)` at `theta=0.`

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If x=a cos^(3)theta,y-b sin^(3)theta, find (d^(3)y)/(dx^(3)) at theta=0

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

Knowledge Check

  • If x=bcos^(3)theta,y=asin^(3)theta," then "(dy)/(dx)=

    A
    `((a)/(b))cottheta`
    B
    `((b)/(a))cottheta`
    C
    `(-(a)/(b))tantheta`
    D
    `((b)/(a))tantheta`

  • If x=sintheta,y=sin^(3)theta then (d^(2)y)/(dx^(2)) at theta=(pi)/(2) is . . .

    A
    3
    B
    6
    C
    `(1)/(6)`
    D
    `(1)/(3)`

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    If x=a sec^(3)theta and y=a tan^(3)theta, find (dy)/(dx) at theta=(pi)/(3)

    If x=a sec^(3)theta and y=a tan^(3)theta, find (dy)/(dx) at theta=(pi)/(3)

    If x=a sec^(3)theta and y=a tan^(3)theta, find (dy)/(dx) at theta=(pi)/(3)

    Find dy/dx if x=acos^3theta, y=bsin^3theta

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