Calculus: Getting Started with Derivatives
Math
| Intermediate
- 10 Videos | 1h 9m 27s
- Includes Assessment
- Earns a Badge
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
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discover the key concepts covered in this coursegain a basic understanding of calculus and describe differentiation and derivativesrecognize how the slope between two points is calculatedoutline how to compute the slope at a point by exploring the geometric definition of derivativesuse derivatives in real-world scenarios
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outline differential equations and types of differencescalculate derivates on constant functionscalculate derivatives of linear and constant functionsuse built-in functions to compute derivativessummarize the key concepts covered in this course
IN THIS COURSE
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1.Course Overview1m 58sUP NEXT
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2.Differentiation and Derivatives5m 22s
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3.Calculating the Slope between Two Points5m 1s
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4.Calculating the Slope at a Point7m 5s
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5.Applying Derivatives13m 23s
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6.Understanding Differential Equations and Differences8m 19s
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7.Computing Derivatives of Constant Functions6m 52s
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8.Computing Derivatives of Linear Functions7m 52s
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9.Calculating Derivatives with Built-in Functions11m 31s
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10.Course Summary2m 5s
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