Multivariable Calculus 27 | Application of the Implicit Function Theorem [dark version]

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🌙 There is also a dark mode version of this video:    • Multivariable Calculus 27 | Application of...  
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This is my video series about Multivariable Calculus also known as Analysis with more variables or in higher dimensions. I hope that it will help everyone who wants to learn about it. We discuss partial derivatives, the nabla operator, gradient, Jacobians, Hessian, Lagrange multipliers, extrema, Lagrange function, and so on. For any questions, please leave a comment or come to the community forum of the Bright Side of Mathematics: https://tbsom.de/s/community

00:00 Introduction
00:00 Inverse Function Theorem
01:52 Implicit Function Theorem
01:52 Implicit Function Theorem
02:07 Correction: there is no connection between the two differently coloured $k$s. It would have been better to use two different symbols there.
02:56 Application of the Implicit Function Theorem for polynomials
06:09 General case of an arbitrary polynomial
09:55 Outro

#MultivariableCalculus
#Analysis
#Integral
#Calculus
#Derivatives
#Mathematicspdt
#Lagrange

(This explanation fits to lectures for students in their first year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on)

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