Using the Chain Rule to Differentiate Complex Functions

Instructions:

Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

Find the derivative of f(x).

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1. Evaluate.

2. Find f'(x) for the following function.

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About This Quiz & Worksheet

Using this quiz and attached worksheet, you can evaluate how well you understand complex functions. The quiz will assess your understanding of concepts like variables and derivatives.

Quiz & Worksheet Goals

Use these assessment tools to measure your knowledge of:

  • Finding derivatives in given equations
  • Evaluating equations
  • Solving functions

Skills practiced

This worksheet and quiz let you practice the following skills:

  • Critical thinking - apply relevant concepts to examine information about complex functions in a different light
  • Problem solving - use acquired knowledge to solve complex functions practice problems
  • Interpreting information - verify that you can read information regarding differentiating and interpret it correctly

Additional Learning

To learn more about complex functions and the chain rule, review the lesson titled Using the Chain Rule to Differentiate Complex Functions. This lesson covers the following objectives:

  • Understand the chain rule and how to use it to solve complex functions
  • Discuss nested equations
  • Practice solving complex functions using the chain rule
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