Daniel Flath

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Derivative review

Learning objectives

  • Refresh knowledge of derivatives
  • Interpret derivatives as multipliers:  \Delta z \approx (\hbox{Derivative}) \times \Delta x for z = f(x) and \Delta x small
  • Review algebraic calculation of derivatives: e^{kx}, a^x, x^r, \ln x, \sin x, \cos x, \tan x, \tan^{-1} x, product rule, chain rule

Resources

  • Textbook: 2.2-2.4, 3.1-3.6.
  • Suggested problems: 2.2#13,15,31; 2.3#5,27; 2.4#1,3; 3.1#7,15,23; 3.2#5,31; 3.3#7,31; 3.4#9,11; 3.5#5,7,17,19,57; 3.6#1,5.
  • Derivatives are multipliers, section 1
  • How to think about derivatives
  • Derivative formulas

In Class

  • Derivative review problems
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