0028.证明：ddx(ln x) = 1x
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本视频通过极限的定义和对数运算规则，详细推导了自然对数函数的导数，并最终证明其导数为1/x。
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0001.牛顿，莱布尼茨和尤塞恩·博尔特
0002.极限介绍1
0003.极限介绍2
0004.极限例题1
0005.极限例题2
0006.极限例题3
0007.极限例题4
0008.夹逼定理
0009.证明sinx除以x的极限
0010.更多极限例题
0011.极限的ε-δ定义1
0012.极限的ε-δ定义2
0013.导数(新版本)1
0014.导数(新版本)2
0015.导数(新版本)2.5
0016.直观导数模块
0017.导数1
0018.导数2
0019.导数3
0020.链式法则
0021.链式法则例题
0022.更多链式法则的例题
0023.乘积法则
0024.商法则
0025.导数9
0026.证明：ddx(x^n)
0027.证明：ddx(sqrt(x))
0028.证明：ddx(ln x) = 1x
0029.证明：ddx(e^x) = e^x
0030.证明ln(x)和e^x的导数
0031.31.extreme derivative word problem (advanced)
0032.32.implicit differentiation
0033.33.implicit differentiation (part 2)
0034.34.more implicit differentiation
0035.35.more chain rule and implicit differentiation intuition
0036.36.trig implicit differentiation example
0037.37.calculus derivative of x^(x^x)
0038.38.introduction to l'hopital's rule
0039.39.l'hopital's rule example 1
0040.40.l'hopital's rule example 2
0041.41.l'hopital's rule example 3
0042.42.maxima minima slope intuition
0043.43.inflection points and concavity intuition
0044.44.monotonicity theorem
0045.45.calculus maximum and minimum values on an interval
0046.46.calculus graphing using derivatives
0047.47.calculus graphing with derivatives example
0048.48.graphing with calculus
0049.49.optimization with calculus 1
0050.50.optimization with calculus 2
0051.51.optimization with calculus 3
0052.52.optimization example 4
0053.53.introduction to rate-of-change problems
0054.54.equation of a tangent line
0055.55.rates-of-change (part 2)
0056.56.ladder rate-of-change problem
0057.57mean value theorem
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