Finding Critical Points in Calculus: Function & Graph


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question 1 of 3

Find the critical points of the given function:

f(x) = x^3 - 3x^2

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Find the critical points of the following function:

f(x) = (4x)/(x^2 + 1)


Find the critical points of the following function:

h(t) = 3 - x

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About This Quiz & Worksheet

In this quiz you will face a series of math problems. The problems will each ask you to find the critical points in a given function.

Quiz & Worksheet Goals

The quiz will ask you to understand the following ideas:

  • Critical points
  • Critical numbers
  • Derivatives of functions
  • Solving mathematical equations

Skills Practiced

The quiz will help you with the following skills:

  • Making connections - use understanding of the concept of derivatives to solve critical functions
  • Information recall - access the knowledge you've gained regarding critical numbers
  • Problem solving - use acquired knowledge to solve critical point practice problems given a function

Additional Learning

After you finish the quiz, head over to the corresponding lesson titled Finding Critical Points in Calculus: Function & Graph so you can gain even more familiarity with the concepts and review these topics:

  • Exploring the characteristics of slopes
  • Understanding derivatives
  • Obtaining y-values using critical numbers