Solving the Derivative of cos(2x)


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question 1 of 3

Which of the following is the chain rule for derivatives?

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1. Which of the following facts do we use in finding the derivative of cos(2x)?

2. If we want to find the derivative of a composition of functions, what will we need to use?

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About This Quiz & Worksheet

Finding derivatives is one thing; calculating derivatives of compositions of functions is another. Use this assessment to test your understanding of how we use the chain rule for derivatives to calculate a derivative of a composition of functions.

Quiz and Worksheet Goals

Use this assessment to test your understanding of:

  • What the chain rule for derivatives states
  • Facts used to find derivatives
  • How we find derivatives of compositions of functions
  • Rules that connect integrals and derivatives

Skills Practiced

This assessment will also test the following skills:

  • Information recall - access the knowledge you've gained regarding rules and techniques used to find derivatives
  • Interpreting information - verify that you can read information regarding the chain rule for derivatives and interpret it correctly
  • Knowledge application - use your knowledge to answer questions about how to find the derivatives of a composition of functions

Additional Learning

To learn more about the topics of this assessment, study the lesson titled Solving the Derivative of cos(2x). After this short lesson, you should have a better understanding of:

  • What a composition of a function is
  • How the chain rule works
  • Examples of uses of the chain rule and calculations for the composition of a function