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If f(x) = int \ (sin 2x(cos 2x - cos 4x)...

If `f(x) = int \ (sin 2x(cos 2x - cos 4x))/(cos 2x(cos 2x + cos 4x)) \ dx` then the value of `f(pi/3)-f(0)` is

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If f(x) = cos x cos 2x cos 4x cos (8x). cos 16x then find f' (pi/4)

If f(x) = cos x cos 2x cos 4x cos (8x). cos 16x then find f' (pi/4)

Knowledge Check

  • If f(x)=cos[pi^2]x+cos[-pi^2]x then the value of f(pi/4)+f(pi/2) is

    A
    `1/sqrt2`
    B
    `1+1/sqrt2`
    C
    `1-1/sqrt2`
    D
    `-1+1/sqrt2`

  • int (cos 2 x. sin 4x)/(cos ^(4) x(1+ cos ^(2) 2x))dx =

    A
    `log [(1+ cos ^(2) x)/(1+cos 2x)]-tan ^(2) x + c `
    B
    `log ((1+ cos ^(2) x)/(1+cos 2x))-tan ^(2) x + c `
    C
    `log ((1+ cos ^(2) x)/(1+cos 2x))-sec ^(2) x + c `
    D
    `log (((1+ cos ^(2) x)^(2))/(1+cos 2x))-sec ^(2) x + c `

  • if f(x) = cos x cos 2x cos 4x cos 8 x cos 16 x , then f' (pi //4) is

    A
    `1`
    B
    ` sqrt(2)`
    C
    `1 // sqrt(2)`
    D
    None

    • Similar Questions

    Explore conceptually related problems

    If f(x) = cos x cos 2x cos 4x cos (8x). cos 16x then find f' (pi/4)

    If f(x) = cos x cos 2x cos 4x cos 8x cos 16x then find f' (pi/4)

    If f(x) = cos x cos 2x cos 4x cos 8x cos 16x then find f' (pi/4)

    If f(x) = cos x cos 2x cos 4x cos 8x cos 16 x then f^1((pi)/(4)) equals

    If f(x) = ( 1. cos x + 5 cos 3x + cos 5x)/(cos 6x + 6cos 4x + 15 cos 2x +10) then f(0)+f'(0) + f''(0)=

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