Yahoo Answers: Answers and Comments for AP Calculus Question? [Mathematics]
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From Jaaaacob
enUS
Wed, 27 Mar 2013 13:42:57 +0000
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Yahoo Answers: Answers and Comments for AP Calculus Question? [Mathematics]
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https://answers.yahoo.com/question/index?qid=20130327134257AA1HusS
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From greenhart: Basically the idea here is that if you take th...
https://answers.yahoo.com/question/index?qid=20130327134257AA1HusS
https://answers.yahoo.com/question/index?qid=20130327134257AA1HusS
Wed, 27 Mar 2013 20:50:11 +0000
Basically the idea here is that if you take the derivative of your function you will get slope of the regular curve.
Now to find the derivative of the inverse function, simply take the regular derivative and then find the opposite reciprocal (this is because the inverse function has a perpendicular slope)
(x)= ln x, so differentiating gives this,
f'(x) = 1/x. At the point (1,0)
f'(x) = 1/(1) = 1.
Since the inverse slope is perpendicular,
the derivative of f^1 at 0 is 1.