Differential Calculus: Definition & Applications


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What is the difference between average velocity and instantaneous velocity?

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1. If q = g(p), then the derivative g' measures:

2. The average rate of change formula is most similar to which formula from algebra?

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About This Quiz & Worksheet

Learn about the differential calculus applications with this worksheet and attached quiz. Assess what you know about specific topics such as the difference between average velocity and instantaneous velocity and the measurements of derivatives.

Quiz & Worksheet Goals

Use these study tools for better knowledge about how to:

  • Identify the average rate of change formula with regard to another algebraic formula
  • Find average rate of given on a given interval
  • Calculate rate of change of a given function

Skills Practiced

Use these study techniques:

  • Reading comprehension - ensure that you draw the most important information from the related lesson on differential calculus applications
  • Making connections - use understanding of the concept of average velocity and how it differs from instantaneous velocity
  • Critical thinking - apply relevant concepts to examine information about measurements of derivatives in a different light
  • Problem solving - use acquired knowledge to solve rate of change practice problems

Additional Learning

Read more about differential calculus applications with this lesson entitled Differential Calculus: Definition & Applications. The lesson will adhere to the following study points:

  • Define velocity
  • Be able to use the theory of average rates
  • Identify limits
  • Understand derivatives and differentiation
  • Be able to calculate differentiate functions