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→Exponential functions
The derivative of exponential functions,
The derivative of exponential functions,
<math>\frac{d}{dx}a^{x}=s^{x}\ln{x}</math>
<math>\frac{d}{dx}a^{x}=s^{x}\ln{s}</math>
Where <math>\ln{s}</math> is the [[natural logarithm]] for ''x'' which is real.
Where <math>\ln{s}</math> is the [[natural logarithm]] for ''s''.
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]]