These Single Variable Calculus lecture notes cover:
- Rules for Exponentials and Logarithms: Algebraic rules for exponentials and logarithms are reviewed.
- The Derivative of ax: Derivation, leading to the definition of e and the natural logarithm.
- The Derivative of log_a(x) and the Value of e: Derivation using the chain rule. Derivative of ln(x) also given and used to find the numeric value of e.
- Logarithmic Differentiation: Finding the derivative of a product of functions using logarithms to convert into a sum of functions.
Course: 18.01 Single Variable Calculus, Fall 2005
Instructor: Prof. Jason Starr
Prof. Jason Starr, 18.01 Single Variable Calculus, Fall 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA
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Keywords:MIT AP Calculus AP Calculus math mathematics derivatives functions sum product quotient chain rule differentiation polar vector
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