Notations and Power Rule

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Taught by TheMathDude
  • Currently 4.0/5 Stars.
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Meets NCTM Standards:
Lesson Summary:

In this lesson, you will learn about notations of derivatives, including prime and Leibniz notation. The video also covers how to use the definition of the derivative to find the algebraic rule for transforming a function into its derivative. You will also discover the power rule for derivatives, which is a rule for transforming power functions into their derivatives. The video also introduces Wolfram Alpha as a tool that can be used to find derivatives and simplify algebraic expressions.

Lesson Description:

Understand clearly prime and Leibniz notation as ways of indicating the derivative of functions symbolically. Understand how the definition of the derivative with difference quotient is used to find the algebraic rule for transforming a function into its derivative. Use the definition of the derivative to find the derivative rule for the power function.

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Additional Resources:
  • Wolfram Alpha engine - A computation engine that can do many calculations / derivatives for you as well as look up reliable information about almost anything.
Questions answered by this video:
  • What is the power rule for derivatives?
  • What is the notation for derivative functions?
  • How do you take the derivative of a linear function?
  • What is Leibniz notation?
  • If R(t) = 2t + 5, what does dR/dt mean?
  • If R(t) = p(t)*q(t), how do you do R'(t)?
  • How can you find the derivative of a function?
  • Staff Review

    • Currently 4.0/5 Stars.
    This lesson starts off with a basic explanation of the notation for derivatives and how the power rule works for derivatives. The notation and function definitions are all shown in this introduction to derivatives. This lesson is more of an explanation of how this works rather than showing you specific examples.