In this video, I go over what the inverse secant function is and provide a simple proof of the derivative of it. If you ever encounter inverse csc(x) or inverse trigonometric functions in general then this video is a must watch. Download the notes in my video: https://www.dropbox.com/s/20lz93a6f0jggr7/238%20-%20Derivative%20of%20arccsc%28x%29.pdf Related Videos: Derivative of arccot(x) (or inverse cot(x) or arccotangent(x)) - Simple Intro and Proof: http://youtu.be/xO8PZdQOpyg Derivative of arcsec(x) (or inverse sec(x) or arcsecant(x)) - Simple Intro and Proof: http://youtu.be/PIFfa2WEOEc Inverse Functions - f-1(x) - An Introduction: http://youtu.be/qIqj3oKwFi8 Inverse Functions Part 2: One to One Functions and the Horizontal Line Test: http://youtu.be/iSNuplUWrbA Implicit Differentiation - A Brief Introduction: http://youtu.be/12OY1b3DYHQ Negative Reciprocals and Perpendicular Lines: http://youtu.be/Ue7FmrfmuX4 Trigonometry Identities: Proof that sin^2(x) + cos^2(x) = 1: http://youtu.be/o-fAx_96lgw Trigonometry: Sine, Cosine and Tan Functions: http://youtu.be/WKTIlF2oWw8 Power Functions and their Properties Part 1 - A Simple Explanation: http://youtu.be/2MKko4ZkSf0 Derivative of Trigonometry Functions: Derivative of sin(x): http://youtu.be/elEvQ4Wu7Pk . ------------------------------------------------------ SUBSCRIBE via EMAIL: https://mes.fm/subscribe DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate Like, Subscribe, Favorite, and Comment Below! Follow us on: Official Website: https://MES.fm Steemit: https://steemit.com/@mes Gab: https://gab.ai/matheasysolutions Minds: https://minds.com/matheasysolutions Twitter: https://twitter.com/MathEasySolns Facebook: https://fb.com/MathEasySolutions LinkedIn: https://mes.fm/linkedin Pinterest: https://pinterest.com/MathEasySolns Instagram: https://instagram.com/MathEasySolutions Email me: contact@mes.fm Try our Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Try our Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps ... https://www.youtube.com/watch?v=NdJfesadCRU

In this video I go over another example on implicit differentiation and now look at the famous cubic function, the Folium of Descartes. I also go over some very interesting historical facts in the history of math so make sure you watch this video! Download the notes in my video: https://www.dropbox.com/s/c5e55yaf9fsw7gd/417%20-%20Implicit%20Differentiation%20Example%20Descartes.pdf Related Videos: Implicit Differentiation Example on Equation of a Circle: http://youtu.be/4_YzO6IsloY Implicit Differentiation - A Brief Introduction: http://youtu.be/12OY1b3DYHQ Derivative Rules: Proof of Chain Rule: http://youtu.be/tYDDpKzP-VU Derivative of y = x^n: Power Rule Part 1: n is positive integer: http://youtu.be/-Yv85MZNYgU Power Functions and their Properties Part 1 - A Simple Explanation: http://youtu.be/2MKko4ZkSf0 Limit Laws - Part 2 + Brief History of Newton and Limits: http://youtu.be/K5n7y2BvnOs . ------------------------------------------------------ SUBSCRIBE via EMAIL: https://mes.fm/subscribe DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate Like, Subscribe, Favorite, and Comment Below! Follow us on: Official Website: https://MES.fm Steemit: https://steemit.com/@mes Gab: https://gab.ai/matheasysolutions Minds: https://minds.com/matheasysolutions Twitter: https://twitter.com/MathEasySolns Facebook: https://fb.com/MathEasySolutions LinkedIn: https://mes.fm/linkedin Pinterest: https://pinterest.com/MathEasySolns Instagram: https://instagram.com/MathEasySolutions Email me: contact@mes.fm Try our Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Try our Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps ... https://www.youtube.com/watch?v=D3ahNyg-OoQ

In this video I go over asymmetric catenaries which are just catenaries but hung at different heights as opposed. I was recently asked whether the curve formed by hanging a cable across two different heights was the same as that for when the heights are identical, and so I looked into this question further to realize that yes, yes it is. The reason for this is that in my earlier derivation video on catenaries I set up the coordinate system so that the lowest point on the catenary is located at the y-intercept, and then set up a free body diagram of the a segment of the rope or cable. The free body diagram illustrates the tension in the rope at the lowest point and the linear weight density as the only physical constants that need to be obtained, and thus the derivation does not include the actual heights at which the catenary is hung. Thus the resulting hyperbolic catenary function y = a*cosh(x/a) + c is the for both asymmetric and symmetric catenaries! The only difference is that the location of the lowest point of the curve, and tension at that point may change at different heights. Also in this video I go over a couple of applications of the catenary functions, including catenary mooring line systems and the Sea-To-Sky Gondola transportation service for mountain climbers. This is a very interesting video illustrating varying types of catenaries and how we can always look to the original derivation of to see how the resulting shapes will be like, so make sure to watch this video! Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhvs1IuM3BFpCy2sDQQ View Video Notes on Steemit: https://steemit.com/mathematics/@mes/video-notes-hyperbolic-functions-asymmetric-catenaries Related Videos: Hyperbolic Functions: Catenary: Example 4: Arc Length: https://youtu.be/mnBLG_D1nHg Hyperbolic Functions: Catenary: Example 3: Telephone Lines: https://youtu.be/GbDGUYTrHQ0 Hyperbolic Functions: Catenary: Example 2: Graphing Catenaries: https://youtu.be/FlqcdaJn1NU Hyperbolic Functions: Catenary: Example 1: Reverse Proof: https://youtu.be/KK4FoanPHzA Hyperbolic Functions: Catenary: Formula and Proof: https://youtu.be/EYb1p9r1fnM Hyperbolic Functions - tanh(x), sinh(x), cosh(x) - Introduction: http://youtu.be/EmJKuQBEdlc . ------------------------------------------------------ SUBSCRIBE via EMAIL: https://mes.fm/subscribe DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate Like, Subscribe, Favorite, and Comment Below! Follow us on: Official Website: https://MES.fm Steemit: https://steemit.com/@mes Gab: https://gab.ai/matheasysolutions Minds: https://minds.com/matheasysolutions Twitter: https://twitter.com/MathEasySolns Facebook: https://fb.com/MathEasySolutions LinkedIn: https://mes.fm/linkedin Pinterest: https://pinterest.com/MathEasySolns Instagram: ... https://www.youtube.com/watch?v=vDsLu3DCgyw

In this video I look further into the Pope Paul VI Audience Hall, and this time take a close look at the Pericle Fazzini's The Resurrection (or La Resurrezione) sculpture, which is a depicts Jesus supposedly coming out of a nuclear apocalypse. But to see if there may have been some hidden meaning behind the sculpture, I applied some mirroring effects… When mirrored from the left side, the sculpture literally looks like a shirtless man mixed with a demonic animal like Baphomet figure! When mirrored from the right, it looks like some demonic being as well. In my earlier Audience Hall video I illustrated how the Hall looks like a giant snake’s head complete with fangs, slit eyes, scales, mouth, and now I show the red carpet looks like a tongue! The Hall from map view appears as if the Snake Hall is BITING the Vatican City! Also, St. Peter’s Square and Basilica appear as a giant snake with its tongue sticking out, in addition to appearing like the famous St. Peter’s “Keys to Heaven”. At the center of St. Peter’s Square is an ancient Egyptian Obelisk which may have some phallic meaning... To understand the Hall better, I show the previous works of both the Hall's architect Pier Luigi Nervi, and Fazzini. Some of Nervi’s works depict UFOs. Some of Fazzini’s works involve similar architecture to the Resurrection, representing creation and/or glorification. Time for some “speculation”. Since an explanation is hard to find, I look to Occult researchers. One such researcher is Micheal Tsarion, which I first heard of after watching his video on The Destruction of Atlantis! Tsarion, along with another YouTuber Gerone Wright speak about possible Alien Genetic Manipulation during humankind’s origins, possibly with some reptile/snake animals or beings too. “Entertaining” this idea, the Vatican symbolism then might mean that the Hall, Snake bite, the Key, and the Obelisk represent genetic manipulation of mankind. And the Jesus sculpture might mean he is rising out of the nucleus of an atomic genetic reaction, instead of the “Nuclear Apocalypse”… #MINDBLOWN Genetic manipulation may also explain the cryptic meanings behind Nervi’s UFOs, Fazzini’s origins and glorification works, the Bible’s “Nephilim” and/or “Fallen Angels”, and the Tree of Life with the tempting of the serpent/snake of Adam and Eve. This may also explain why: - The Superman logo looks like a Snake - Billion dollar Virgin Group’s original logo depicts genetic manipulation - George Washington and Zeus have monuments in Baphomet-like poses - US Public Health Service and World Health Organization logos use similar Baphomet pants’ snakes around a staff logo - Michelangelo’s Sistine Chapel depicts the serpent in the Garden of Eden wrapping around t ... https://www.youtube.com/watch?v=peZxhEouw-w