Calculus on Demand at Dartmouth College Lecture 26 | Index | Lecture 28
Lecture 27


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In this lecture we define the inverse trigonometric functions and develop formulas for their derivatives. This will round out and conclude our discussion of the elementary functions that we began in lecture 1.


Quick Question

Does sin(x) have an inverse function on the interval [−π,π]?


Answer

Textbook

Inverse Trigonometric Functions

Today's Homework

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Quiz

Inverse Trigonometric Functions Quiz

Examples

  • Click to see the exampleFind an integral using arcsin.
  • Click to see the exampleFind an integral using ln.
  • Click to see the exampleFind an integral using arctan and arccos.

Applets

  • Click to see the appletCalculator: Values of Elementary Functions

Videos

  • click to see the videod/dx (arctan(x)) = 1/(1 + x2)
  • click to see the videoFind derivative of arcsin(3x2)
  • click to see the videoFind derivative of y = arctan(ex)

Lecture 26 | Index | Lecture 28