Solving the Derivative of ln(sqrt x) Video

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question 1 of 3

Which of the following is the chain rule formula for finding the derivative of f(g(x))?

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1. If f(g(x)) = ln(√x), what is f(x) and g(x)?

2. Part of using the chain rule to find the derivative of f(g(x)) = ln(√x) includes finding f ' (g(x)). If we let f(x) = ln(x) and g(x) = √x, what is f ' (g(x))?

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About This Quiz & Worksheet

Check your understanding of solving derivatives with the chain rule with a quiz and worksheet combo. This resource reviews what you know about the steps to solving these problems and how to solve them for the correct answer.

Quiz & Worksheet Goals

This quiz and worksheet is designed to assess what you know about:

  • The chain rule formula for finding the derivative of f(g(x))
  • Understanding the steps in using the chain rule
  • Solving chain rule derivative for answers

Skills Practiced

  • Information recall - see if you can remember how to correctly use the chain rule for derivatives
  • Problem solving - take what you know about the chain rule formula for derivatives and correctly solve these types of problems
  • Making connections - use your understanding the chain rule formula and how to set it up from a word problem

Additional Learning

If you want a more comprehensive overview of this topic, you can read the provided lesson, Solving the Derivative of ln(sqrt x). This lesson offers more details about:

  • The formula for the chain rule for derivatives
  • Common derivatives
  • Simplifying equations
  • Using real world problem examples
  • Graphing a derivative
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