Derivative of General Exponential a^x Formula & Proof | Calculus 1
Автор: CodeLucky
Загружено: 2026-01-25
Просмотров: 0
Learn how to find the derivative of the general exponential function a^x in this quick Calculus tutorial! 🧮✨
We start by reviewing the derivative of e^x and then use the chain rule and logarithmic properties to derive the formula for any base a. This is a fundamental concept for Calculus students.
Key Concepts covered:
Review of e^x derivative
Converting bases using natural logs
Applying the Chain Rule
Real examples with 2^x and 10^x
Perfect for beginners and students preparing for exams! 🎓
#calculus #derivatives #math #education #exponential
Chapters:
00:00 - Introduction
00:15 - Recalling e^x
00:33 - The Problem with Base a
00:51 - The Key Strategy
01:09 - Setting up Chain Rule
01:21 - Derivation Step
01:38 - Substitution
01:53 - Examples
02:08 - Scaling Factor
02:29 - Conclusion
02:42 - Outro
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