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Introduction to Computing Derivatives - At A Glance:

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

We used three general steps in the above problem.

  • We rewrote the function in terms of sin and cos,
      
  • we used the quotient rule, and
      
  • we wrote the answer in terms of trig functions.
      

Example 1

Find 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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