Calculus › Section F · Logarithmic, exponential, and other transcendental functions › Topic F.7
Inverse trigonometric functions: derivatives
Sine is not one-to-one, so an inverse sine can only exist on a restricted piece. Built that way, arcsin and arctan work perfectly, and their derivatives turn out to be clean algebraic fractions.
In this topic
- Inverting an oscillating function
- Definitions and principal values
- Worked example: deriving arcsine's derivative
- The three derivative rules
- Worked example: chain forms
- The complementary identities
- Worked example: an evaluation chain
- Inverse trig in the physical world
- Common mistakes to avoid
- Key takeaways
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Standards: 3