Proof d(lnx)/dx = 1/x

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  1. DataHungry
  2. calculus
  3. dy/dx
  4. ln
  5. lnx
  6. 1/x
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Комментарии
Автор

Instead of using implicit differentiation, I think a more convincing approach is to show it geometrically.

Triadii
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THIS PROOF IS TOO GOOD!! I have been finding a simple proof for this derivative for a long time and have finally got it. Thanks!

Anmol_Sinha
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Now do this with the definition of the derivative.

GovernorBroadsideDS
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Proof would be by the definition of integration, not by using techniques of integration.

christophernodurft
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But wouldn't the domain of lnx restrict it to positve only?

edgarb.
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y = ln(x) so x = e^y. So dx/dy = e^y so dy/dx = 1/e^y = 1/x :)

cj_xx