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(d)/(dx) ( sqrt(x sin x))= …… (0 lt x lt...

`(d)/(dx) ( sqrt(x sin x))`= …… `(0 lt x lt pi)`

A

`(x sin x + cos x)/(sqrt(x sin x))`

B

`(x cos x)/(2 sqrt(x sin x))`

C

`(x cos x+ sin x)/(2 sqrt(x sin x))`

D

`(1)/(2 sqrt(x sin x))`

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(dy)/(dx) + (sec x)y = tan x (0 le x lt (pi)/(2))

Find f'(x) if f(x)= (sin x)^(sin x) for all 0 lt x lt pi .

Knowledge Check

  • (d)/(dx)(sqrt(sinx)) =……….. (0ltxlt (pi)/(2))

    A
    `sqrt(cosx)`
    B
    `sqrt(sinx)`
    C
    `(cosx)/(2sqrt(sinx))`
    D
    `(sinx)/(2sqrt(cosx))`

  • (d)/(dx)sqrt(x^(2)-2x+1) =………

    A
    0
    B
    1
    C
    -1
    D
    Does not exists

  • (d)/(dx) (sin^(-1)x + cos^(-1) x)= …….. (|x| lt 1)

    A
    0
    B
    `(2)/(sqrt(1-x^(2)))`
    C
    `(1)/(sqrt(1 -x^(2)))`
    D
    Does not exist

    • Similar Questions

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    Find f'(x) if f(x)= (sin x)^(sin x) for all 0 lt x lt pi .

    Differentiate, tan^(-1) ((a cos x- b sin x)/(b cos x + a sin x)), (-pi)/(2) lt x lt (pi)/(2) and (a)/(b) tan x gt -1

    tan^(-1) ((a cos x- b sin x)/(b cos x + a sin x)), (-pi)/(2) lt x lt (pi)/(2) and (a)/(b) tan x gt -1

    (d)/(dx) (sqrt3 sin (2x+ (pi)/(3)) + cos (2x+ (pi)/(3)))= ____

    int (dx)/(cos x sqrt(1+cos 2x+ sin 2x))= _______+C, (0 lt x lt (pi)/(4))

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