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calculus

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Find the x-coordinates of all points on the curve
f(x) = sin 2x − 2 sin x
at which the tangent line is horizontal. (Enter your answers as a comma-separated list. Use n to represent any integer.)

  • calculus - ,

    tangent is horizontal when f'(x) = 0

    f'(x) = 2cos2x - 2cosx
    f'(x) = 0 when x = 2k*pi or 2k*pi +/- 2pi/3
    for all integers k

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