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Calculus — Introduction to Differentiation and Power Rule + 6 more topics

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Course Syllabus

  1. Introduction to Differentiation and Power Rule
  2. Differentiation of Exponential Functions
  3. Differentiation of Logarithmic Functions
  4. Chain Rule
  5. Product Rule
  6. Quotient Rule
  7. Mixed Differentiation Problems and Practice

Study Notes

Introduction to Differentiation and Power Rule

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Traditionally, finding the derivative involves using the limit definition, which looks like this:

$$f'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h}$$

While this formula is fundamental to understanding what a derivative is, it's quite involved for many functions. Luckily, for many common functions, we have shortcuts called differentiation rules. The most important one for beginners is the Power Rule.

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