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Computing Derivatives

Computing Derivatives

At a Glance - Derivatives of Those Other Trig Functions

We found the derivatives of sine and cosine, and now that we have the quotient rule we can take derivatives of all those other trig functions we didn't discuss yet.

We'll use three general steps to find the derivatives of these functions in the examples and exercises.

  • Rewrite the function in terms of sine and cosine.  
  • Find the derivative using the quotient rule.
  • Write the function in terms of trig functions.

Since every trig function can be written as a ratio of sines and cosines, this method will work every time without fail. What do you think of that?

Example 1

What's the derivative of tan x?


Exercise 1

Find the derivative of each function.

  • csc x

Exercise 2

Find the derivative of each function.

  • sec x

Exercise 3

Find the derivative of each function.

  • cot x

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