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If f(x) = |cos x-sinx| . then f(pi/4) is...

If `f(x) = |cos x-sinx|` . then `f(pi/4)` is

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If f(x)=|cosx-sinx| , then f'(pi/4) is equal to

If f(x)=|cosx-sinx| , then f'(pi/4) is equal to

Knowledge Check

  • If f(x) = |cos x - sin x| , then f^(1)(pi/4) =

    A
    `sqrt2`
    B
    `-sqrt2`
    C
    0
    D
    does not exist

  • If f(x)=|x|^(|sinx|) then f^1(-pi/4) is equal to

    A
    `(pi/4)^(1//sqrt2)(sqrt(2)/2"In"4/pi-(2sqrt2)/pi)`
    B
    `(pi/4)^(1//sqrt2)(sqrt(2)/2"In"4/pi+(2sqrt2)/pi)`
    C
    `(pi/4)^(1//sqrt2)(sqrt(2)/2"In"pi/4+(2sqrt2)/pi)`
    D
    `(pi/4)^(1//sqrt2)(sqrt(2)/2"In"pi/4-(2sqrt2)/pi)`

  • If f(x)=(2-3cosx)/(sinx) , then f'((pi)/(4)) is equal to

    A
    `2sqrt(2)-6`
    B
    `6-2sqrt(2)`
    C
    `3-sqrt(2)`
    D
    `sqrt(2)-3`

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