These Single Variable Calculus lecture notes cover:

  • Linear Approximations: Linearizations of functions are defined with an example.
  • Basic Linear Approximations: Several important linear approximations.
  • Combining Basic Linear Approximations: Linear approximations at x=a of f(x), f(cx), cf(x), (f+g)(x), f(x)g(x), f(x)/g(x), and f(g(x)). Includes derivations of each and a worked example.
Course: 18.01 Single Variable Calculus, Fall 2005

Instructor: Prof. Jason Starr

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