Home
Class 12
MATHS
If y=1/(sqrt(a^2-b^2))cos^(- 1)((acosx+b...

If `y=1/(sqrt(a^2-b^2))cos^(- 1)((acosx+b)/(a+bcosx)),` then `(d^2y)/(dx^2)=` (i) `(bsinx)/(a+bcosx)^2` (ii) `-(bsinx)/(a+bcosx)^2` (iii) `(bcosx)/(a+bcosx)^2` (iii) `-(bcosx)/(a+bcosx)^2`

Answer

Step by step text solution for If y=1/(sqrt(a^2-b^2))cos^(- 1)((acosx+b)/(a+bcosx)), then (d^2y)/(dx^2)= (i) (bsinx)/(a+bcosx)^2 (ii) -(bsinx)/(a+bcosx)^2 (iii) (bcosx)/(a+bcosx)^2 (iii) -(bcosx)/(a+bcosx)^2 by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

If y=(1)/(sqrt(a^(2)-b^(2)))cos^(-1)((a cos x+b)/(a+b cos x)), then (d^(2)y)/(dx^(2))=(i)(b sin x)/((a+b cos x)^(2))( ii) -(b sin x)/((a+b cos x)^(2))( iii) (b cos x)/((a+b cos x)^(2))( iii) -(b cos x)/((a+b cos x)^(2))

tan^(-1)((a+bcosx)/(b-acosx))

Knowledge Check

  • If y=2/sqrt(a^2-b^2)tan^-1[sqrt((a-b)/(a+b))tan(x/2)] then (d_2y)/(dx^2)|(=),(x=pi/2):|

    A
    `b/(2a^2)`
    B
    `b/(a^2)`
    C
    `(2b)/a`
    D
    `(b^2)/(2a)`

  • If y=(a+bcosx)/(a-bcosx)," then "(a-bcosx)^(2)y_(1)=

    A
    `2"ab"sinx`
    B
    `-2"ab"sinx`
    C
    `2"ab"cosx`
    D
    `-2"ab"cosx`

  • If y=tan^(-1)((acosx-bsinx)/(bcosx+asinx)) , then dy/dx is equal to

    A
    2
    B
    `-1`
    C
    `a/b`
    D
    `b/a`

    • Similar Questions

    Explore conceptually related problems

    int(sin2x)/(a+bcosx)^2dx

    intdx/(asinx+bcosx)^2

    intdx/(asinx+bcosx)^2

    int(sin2x)/(1+bcosx)^(2)dx

    If y=asinx+bcosx , then y^2+((dy)/(dx))^2 is a

    Home
    Profile