设f(x)有二阶导数,且f’(x)≠0,x=g(y)与y=f(x)互为反函数,试用f’(x),f”(x)来表示g”(y).
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![设f(x)有二阶导数,且f’(x)≠0,x=g(y)与y=f(x)互为反函数,试用f’(x),f”(x)来表示g”(y).](/uploads/image/z/3508385-41-5.jpg?t=%E8%AE%BEf%28x%29%E6%9C%89%E4%BA%8C%E9%98%B6%E5%AF%BC%E6%95%B0%2C%E4%B8%94f%E2%80%99%28x%29%E2%89%A00%2Cx%3Dg%28y%29%E4%B8%8Ey%3Df%28x%29%E4%BA%92%E4%B8%BA%E5%8F%8D%E5%87%BD%E6%95%B0%2C%E8%AF%95%E7%94%A8f%E2%80%99%28x%29%2Cf%E2%80%9D%28x%29%E6%9D%A5%E8%A1%A8%E7%A4%BAg%E2%80%9D%28y%29.)
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设f(x)有二阶导数,且f’(x)≠0,x=g(y)与y=f(x)互为反函数,试用f’(x),f”(x)来表示g”(y).
设f(x)有二阶导数,且f’(x)≠0,x=g(y)与y=f(x)互为反函数,试用f’(x),f”(x)来表示g”(y).
设f(x)有二阶导数,且f’(x)≠0,x=g(y)与y=f(x)互为反函数,试用f’(x),f”(x)来表示g”(y).
见图片显示.
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