# Calculus: Getting Started with Derivatives

Math    |    Intermediate
• 10 Videos | 1h 9m 27s
• Includes Assessment
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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

• 1.
Course Overview
• 2.
Differentiation and Derivatives
• 3.
Calculating the Slope between Two Points
• 4.
Calculating the Slope at a Point
• 5.
Applying Derivatives
• 6.
Understanding Differential Equations and Differences
• 7.
Computing Derivatives of Constant Functions
• 8.
Computing Derivatives of Linear Functions
• 9.
Calculating Derivatives with Built-in Functions
• 10.
Course Summary

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