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No change in size ,  01:01, April 25, 2008
m
→‎Exponential functions: Made this more consistent
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The derivative of exponential functions,
 
The derivative of exponential functions,
   −
<math>\frac{d}{dx}a^{x}=s^{x}\ln{s}</math>
+
<math>\frac{d}{dx}a^{x}=a^{x}\ln{a}</math>
   −
Where <math>\ln{s}</math> is the [[natural logarithm]] for ''s''.
+
Where <math>\ln{a}</math> is the [[natural logarithm]] for ''a''.
    
The [[transcendental number]] ''[[e]]'' (2.7182818...) has the property that the [[derivative]] of the function ''e''<sup>''x''</sup> is ''e''<sup>''x''</sup>.  This function is thus important in the solution of many types of differential equations.
 
The [[transcendental number]] ''[[e]]'' (2.7182818...) has the property that the [[derivative]] of the function ''e''<sup>''x''</sup> is ''e''<sup>''x''</sup>.  This function is thus important in the solution of many types of differential equations.
    
[[Category:Mathematics]]
 
[[Category:Mathematics]]
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