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Chapter 3 Lesson 1 Hint1{Hint}^1Hint1：微分中值定理——联系函数和导数 费马引理：对于邻域U(x0)U(x_0)U(x0​)，如果对于f(x)≤f(x0)f(x) \leq f(x_0)f(x)≤f(x0​)(或f(x)≥f(x0)f(x) \geq f(x_0)f(x)≥f(x0​) )，那么f′(x0)=0f'(x_0)=0f′(x0​)=0 罗尔定理： 1...

Chapter 1 Lesson 8 Hint1{Hint}^1Hint1：设函数y=f(x)y=f(x)y=f(x)在点x0x_0x0​的某邻域内有定义，如果lim⁡Δx→0Δy=lim⁡Δx→0[f(x0+Δx)−f(x0)]=0\lim\limits_{\Delta x \to 0}\Delta y=\lim\limits_{\Delta x\to 0}[f(x_0+\Delta x)-f(...