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Exploring Derivatives of Inverse Trig Functions: Graph Interpretation & Identities

Delve into the derivatives of inverse trigonometric functions, with a focus on graphical interpretation and identities for functions like arccot, arcsec, and arccsc. Understand how the derivatives of functions relate to their inverses and explore examples of finding derivatives of arcsine, arctangent, and arcsecant. Learn about inverse cofunction identities and calculator conversion methods.

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Exploring Derivatives of Inverse Trig Functions: Graph Interpretation & Identities

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  1. Derivatives of Inverse Trigonometric Functions Chapter 4 More Derivatives Section 4.3

  2. Quick Review

  3. Quick Review

  4. Quick Review Solutions

  5. Quick Review Solutions

  6. What you’ll learn about • Differentiating inverse functions • Graphical interpretation of how the derivative of f is related to the derivative of f - 1 • Derivatives of the inverse trigonometric functions • Identities for graphing arccot, arcsec, and arccsc functions on a graphing calculator … and why The relationship between the graph of a function and its inverse allows us to see the relationship between their derivatives.

  7. Derivatives of Inverse Functions

  8. Derivative of the Arcsine

  9. Example Derivative of the Arcsine

  10. Derivative of the Arctangent

  11. Derivative of the Arcsecant

  12. Example Derivative of the Arcsecant

  13. Inverse Function – Inverse Cofunction Identities

  14. Calculator Conversion Identities

  15. Example Derivative of the Arccotangent

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