Solving the Derivative of ln(x)


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Which of the following statements are true?

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1. What is the derivative of ln(x)?

2. Suppose Fred is trying to gain muscle mass. He sees an advertisement for a weight gain program that guarantees its clients will gain muscle in such a manner that their muscle gain can be measured in pounds by the function m(x) = (1/2)ln(x), where x is the number of days the individual has been on the program. The derivative of this function gives the rate at which the client is gaining muscle in pounds per day after x days on the program. What is the derivative of m(x) = (1/2)ln(x)?

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About This Quiz & Worksheet

Assess and review what you know about solving the derivative of In(x) with this quiz and worksheet combo. You'll check your understanding of the steps to solving these problems and getting the correct answer.

Quiz & Worksheet Goals

The intent of this quiz and worksheet is to check what you know about:

  • Key facts about derivatives
  • What the derivative of In(x) is
  • Setting up a function to solve a derivative
  • Solving sample problems

Skills Practiced

  • Information recall - see if you can remember what the derivative of In(x) is
  • Knowledge application - revisit your knowledge about solving derivatives to answer questions about how to set up a problem
  • Problem solving - use what you know about solving the derivative of In(x) to solve related problems

Additional Learning

Review in more detail with the lesson, Solving the Derivative of In(x). This lesson offers the chance to learn more about:

  • Transferring the formula to logarithmic form
  • Understanding the chain rule
  • Solving these types of problems
  • Real world examples