统考竟然出这种选择题(高级数学2)

上星期天在张源进家,解了今年的统考题,这题想了2天:

uec 2009 q5

uec 2009 q5

soln

12 thoughts on “统考竟然出这种选择题(高级数学2)

  1. f[g(x)] = x
    {f[g(x)]}’ = 1
    f'[g(x)] g'(x) = 1
    g'(x) = 1 / f'[g(x)]
    f'(x) = 1 / √[1 – (f(x))²]
    f'[g(x)] = 1 / √[1 – (f[g(x)])²]
    f'[g(x)] = 1 / √(1 – x²)
    ∴ g'(x) = √(1 – x²)。

    我是这样想的,不懂你怎么解

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