Understanding Differentiation

Watch all ten videos and take the quizzes to earn your certificate. 

Video 1: Introduction to the Derivative

In the Introduction to the Derivative video we introduce the notion of the derivative of a function and explain how the derivative captures the instantaneous rate of change of a function.

After you watch the video, CLICK HERE FOR QUIZ 1. 

 

 

Video 2: Properties of the Derivative

In the Properties of the Derivative video we discuss some elementary properties of the derivative as well as the derivatives of polynomial functions.

After you watch the video, CLICK HERE FOR QUIZ 2. 

 

 

Video 3: The Product and Quotient Rules

In the Product and Quotient Rules video we introduce the product and quotient rules of differentiation and work through some examples of how to utilize these rules.

After you watch the video, CLICK HERE FOR QUIZ 3.

 

Video 4: The Chain Rule

In the Chain Rule video we introduce the chain rule for differentiating compositions of functions and discuss how to apply it in practice.

After you watch the video, CLICK HERE FOR QUIZ 4.

 

Video 5: Derivatives of Trigonometric and Exponential Functions

In the Derivatives of Trigonometric and Exponential Functions video we discuss how to add the aforementioned functions to our repertoire of functions we know how to differentiate.

After you watch the video, CLICK HERE FOR QUIZ 5.

 

Video 6: The Inverse Function Theorem

In the Inverse Function Theorem video we discuss the Inverse Function Theorem which gives a relationship between the derivative of an invertible function and that of its inverse.

After you watch the video, CLICK HERE FOR QUIZ 6.

 

Video 7: The Power Rule, Exponential, and Logarithmic Functions

In the Power Rule, Exponential, and Logarithmic Functions video we discuss a generalized form of the power rule as well as how to differentiate the logarithm function.

After you watch the video, CLICK HERE FOR QUIZ 7. 

 

Video 8: Implicit Differentiation

In the Implicit Differentiation video we discuss a method of how to compute the tangent line to a curve in two dimensional space.

After you watch the video, CLICK HERE FOR QUIZ 8.

 

Video 9: Related Rates Part 1

In the Related Rates Part 1 video we introduce the notion of related rates problems and discuss how such problems are an application of the chain rule. We also discuss how to approach and work through these sometimes arduous word problems.

After you watch the video, CLICK HERE FOR QUIZ 9.  

 

Video 10: Related Rates Part 2

In the Related Rates Part 2 video we work through additional examples of related rates problems.

After you watch the video, CLICK HERE FOR QUIZ 10. 

 

After you watch all 10 videos and take the quizzes, CLICK HERE TO ENTER YOUR CODES AND GENERATE A CERTIFICATE. 

 

Your STEM Certificate will come from purduestemdegree@ gmail.com. Make sure it is not blocked by your school. It is an unmonitored email that is ONLY used for these certificates.  

 

The Understanding Differentiation STEM Certificate was created in collaboration with Dr. Daniel Johnstone,  Department of Mathematics, Purdue University, West Lafayette, IN

 

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