关于y=f(x)的二阶反函数导数设函数y=f(x)的反函数为x=φ(y)则在反函数可导的条件下,我们有φ'(y)=1/f'(x)φ"(y)=[1/f'(x)]'=-1·[f'(x)]ˉ²=-1/[f'(x)]²这个对么?
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![关于y=f(x)的二阶反函数导数设函数y=f(x)的反函数为x=φ(y)则在反函数可导的条件下,我们有φ'(y)=1/f'(x)φ](/uploads/image/z/1699067-11-7.jpg?t=%E5%85%B3%E4%BA%8Ey%3Df%28x%29%E7%9A%84%E4%BA%8C%E9%98%B6%E5%8F%8D%E5%87%BD%E6%95%B0%E5%AF%BC%E6%95%B0%E8%AE%BE%E5%87%BD%E6%95%B0y%3Df%28x%29%E7%9A%84%E5%8F%8D%E5%87%BD%E6%95%B0%E4%B8%BAx%3D%CF%86%28y%29%E5%88%99%E5%9C%A8%E5%8F%8D%E5%87%BD%E6%95%B0%E5%8F%AF%E5%AF%BC%E7%9A%84%E6%9D%A1%E4%BB%B6%E4%B8%8B%2C%E6%88%91%E4%BB%AC%E6%9C%89%CF%86%27%28y%29%3D1%2Ff%27%28x%29%CF%86%22%28y%29%3D%5B1%2Ff%27%28x%29%5D%27%3D-1%C2%B7%5Bf%27%28x%29%5D%CB%89%26%23178%3B%3D-1%2F%5Bf%27%28x%29%5D%26%23178%3B%E8%BF%99%E4%B8%AA%E5%AF%B9%E4%B9%88%3F)
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