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I am confused re: the chapter "derivative of an inverse function". How can the derivative of f^1(x) be 1/the derivative of f(x)? Just looking at an example: the derivative of e^x is e^x... but the derivative of ln(x) sure as hell isn't 1/e^x.
 one year ago
 one year ago
I am confused re: the chapter "derivative of an inverse function". How can the derivative of f^1(x) be 1/the derivative of f(x)? Just looking at an example: the derivative of e^x is e^x... but the derivative of ln(x) sure as hell isn't 1/e^x.
 one year ago
 one year ago

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nickfreiBest ResponseYou've already chosen the best response.1
the derivative of f^1(x) is 1/the derivative of the inverse function, d{f 1(x)}/dx = 1 f '(f 1(x))
 one year ago

nickfreiBest ResponseYou've already chosen the best response.1
sorry i was wrong the derivative f^1(x) is 1/the derivative of the function evaluated at the inverse. So in your case it's 1/(e^ln(x)).
 one year ago
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