Derivative of a Radical Function: A Chain Rule Application

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Dr. Marrero from Math Topics.
This is an application of the chain rule to make easy the procedure to find the derivative of radical functions. Also, Dr. Marrero recall important background information on properties of exponents that will allow you to master this content.

00:00 Introduction
00:32 Chain rule for derivative of radical expressions
00:52 Breaking the original expression in two functions
01:14 Defining u and its derivative
01:38 Substitution process
01:58 Derivative of polynomials
02:46 Rule for rational exponents
03:26 Final algebraic manipulation

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