5.一元函数微分学的几何应用

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极值

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单调性

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判别极值的三种方式

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凹凸性

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或者$$设x>x_0,/frac{f(x)-f(x_0)}{x-x_0}>f’(x_0)$$ 凹;$$/frac{f(x)-f(x_0)}{x-x_0}<f’(x_0)$$ 凸

拐点

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判断拐点的三种方式

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重要结论

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渐近线

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最值与取值范围

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方法论

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做函数图像

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曲率及曲率半径

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小tips

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