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Visual proof: derivative of ln(x) (derivative of natural log of x)
0:14
YouTubeZak's Lab
Visual proof: derivative of ln(x) (derivative of natural log of x)
visual proof of the derivative of natural log of x: we show the graph of f(x)=lnx and the graph of f'(x)=1/x. The slope is shown for every value of x along the graph of f(x)=lnx, and those slope values are the same as the y-values on the graph of 1/x, so f'(x)=1/x - the derivative of ln(x) is 1/x.
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