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Computing Derivatives

Computing Derivatives

At a Glance - Derivatives of Inverse Trigonometric Functions

Finding derivatives of inverse trig functions will be similar to finding the derivative of ln x. Our main tool is the chain rule. We also need some background information:

  • the fact that composing inverse functions gets us back where we started.
      
  • the Pythagorean Theorem
      
  • SOHCAHTOA

Here is a recap video of Pythagorean Theorem.

   

Here is a recap video on SOHCAHTOA.

Example 1

What is the derivative of arcsin x?


Exercise 1

Find the derivative of the function. 

  • arccos x

Exercise 2

Find the derivative of the function.

  • arctan x

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