In this post, we establish and use the formulas (for the differentiation of Euler’s Number):
\frac{d}{dx}(e^{x}) and \frac{d}{dx}e^{f(x)} = f'(x)e^{f(x)}
This syllabus dot point is a part of the QCE Maths Methods course under the topic Further Differentiation and Applications 2 and sub-part Calculus of Exponential Functions, specifically focussing on differentiation of Euler’s number.
Derivatives of Exponential Functions
This video explains this concept in detail.
How to Differentiate the Exponential Function (e)
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