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Second Derivative Test
12:48
YouTubeThe Organic Chemistry Tutor
Second Derivative Test
This calculus video tutorial provides a basic introduction into the second derivative test. It explains how to use the second derivative test to identify the presence of a relative maximum or a relative minimum at a critical point. If the second derivative is positive at a critical number - a local minimum is present. If the second derivative ...
818.4K viewsMar 5, 2018
Bessel Function Applications
SOLVED:Bessel functions Bessel functions arise in the study of wave propagation in circular geometries (for example, waves on a circular drum head). They are conveniently defined as power series. One of an infinite family of Bessel functions is J0(x)=∑k=0^∞ ((-1)^k)/(2^2 k(k !)^2) x^2 k. a. Write out the first four terms of J0. b. Find the radius and interval of convergence of the power series for J0. c. Differentiate J0 twice and show (by keeping terms through x^6 ) that J0 satisfies the equati
SOLVED:Bessel functions Bessel functions arise in the study of wave propagation in circular geometries (for example, waves on a circular drum head). They are conveniently defined as power series. One of an infinite family of Bessel functions is J0(x)=∑k=0^∞ ((-1)^k)/(2^2 k(k !)^2) x^2 k. a. Write out the first four terms of J0. b. Find the radius and interval of convergence of the power series for J0. c. Differentiate J0 twice and show (by keeping terms through x^6 ) that J0 satisfies the equati
numerade.com
May 12, 2020
Special Functions | Bessel, Hermite & Laguerre | Generating Functions, Orthogonality, Recurrence
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Special Functions | Bessel, Hermite & Laguerre | Generating Functions, Orthogonality, Recurrence
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Functions
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Functions
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