Derivatives Of Exponential Functions

in #calculus • 6 years ago

Hi there. This math post is on calculus derivatives of exponential functions.

The screenshot images contain math text done in LaTeX and TeXWorks on my desktop.


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Sections

  • Exponential Functions Quick Review
  • Derivatives Of Exponential Functions
  • Examples Of Derivatives Of Exponential Functions

Exponential Functions Quick Review

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Derivatives Of Exponential Functions

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Case three then becomes case two.


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Examples Of Derivatives Of Exponential Functions

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#mathematics #math #steemstem #steemiteducation
6 years ago in #calculus by
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     6 years ago (edited)

    small complement: I think some readers are wondering why (a^x) '= ln(a)a^ x. By definition a^x = e^(xln(a))and (e^u)'= u'e^u ---> e^(xln (a))' = ln(a)a^x

    (I posted a small enigma (logical suite), try to solve it ^^)

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     6 years ago 

    With the substitution of u = x ln(a) and the calculus chain rule you get the result of ln(a) a^x as you have mentioned.

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