Calculus: Getting Started with Derivatives

Math    |    Intermediate
  • 10 videos | 1h 9m 27s
  • Includes Assessment
  • Earns a Badge
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Calculus is a branch of mathematics that deals with continuous change and with how the output of a function changes when the inputs into that function change by vanishingly small amounts. Calculus has wide-ranging applications - in optimization, machine learning, economics, and medicine. You will start this course by defining a derivative in terms of its mathematical formula and interpreting that derivative of a function at a point in two ways: as the slope of the tangent line to the function at that point or as the instantaneous rate of change of that function at that point. You will also apply these concepts to a constant function, verify that its derivative is zero, and understand the reason behind it. By the time you finish this course, you'll have a good foundation in the basics of differential calculus.

WHAT YOU WILL LEARN

  • discover the key concepts covered in this course
    gain a basic understanding of calculus and describe differentiation and derivatives
    recognize how the slope between two points is calculated
    outline how to compute the slope at a point by exploring the geometric definition of derivatives
    use derivatives in real-world scenarios
  • outline differential equations and types of differences
    calculate derivates on constant functions
    calculate derivatives of linear and constant functions
    use built-in functions to compute derivatives
    summarize the key concepts covered in this course

IN THIS COURSE

  • 1m 58s
  • 5m 22s
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    3.  Calculating the Slope between Two Points
    5m 1s
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    4.  Calculating the Slope at a Point
    7m 5s
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    5.  Applying Derivatives
    13m 23s
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    6.  Understanding Differential Equations and Differences
    8m 19s
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    7.  Computing Derivatives of Constant Functions
    6m 52s
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    8.  Computing Derivatives of Linear Functions
    7m 52s
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    9.  Calculating Derivatives with Built-in Functions
    11m 31s
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    10.  Course Summary
    2m 5s

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