Hello everyone! In this video we show you some of the applications of the derivative in various areas of science and technology. We will see how the derivative is used to optimize different problems. We will also explore how the derivative is used in the field of artificial intelligence, to train machine learning models and improve their performance. In addition, we will discuss the importance of mathematics for society and how these scientific tools help us understand and solve important problems in the real world. Don't miss this interesting video and learn more about the applications of the derivative! #derivatives #differentialcalculus #integralcalculus #mathematics Creating these videos takes me quite a bit of time. If you want to help me continue creating content on YouTube, I invite you to support me on PATREON and ACCESS EXCLUSIVE BENEFITS: / bluedot96 Follow me on Twitter: / bluedot96 Follow me on Facebook: / bluedot1196 Follow me on Instagram: / pauloch96 I RECOMMEND THESE VIDEOS: WHAT IS THE DERIVATIVE?: • The DERIVATIVE changed EVERYTHING ???? WHAT is... WHAT IS THE INTEGRAL?: • What is the INTEGRAL? MEANING of... WHAT IS A FUNCTION?: • A function is NOT A MACHINE WHAT... FUNCTIONS FROM SCRATCH: • WHAT is A FUNCTION? ▶ CART PRODUCT... LINEAR FUNCTION: • What is a LINEAR FUNCTION? ▶ GRAPH... QUADRATIC FUNCTION: • WHAT is a QUADRATIC FUNCTION? ▶ Com... FUNCTIONS OF TWO VARIABLES: • WHAT is A FUNCTION OF TWO VARIABLES?... THE INTEGRAL FROM SCRATCH: • This THEOREM CHANGED EVERYTHING ???? WHAT... DIFFERENTIATION : • This IDEA OF NEWTON FOUNDED the BASIS... RULES OF DERIVATION: • The UNKNOWN side of the DERIVATIVE ????... WHAT IS CALCULUS?: • Why did CALCULUS CHANGED EVERYTHING? ... WHAT IS A LIMIT?: • A FANTASTIC INTRODUCTION to LIMITS... THE LIMIT EXPLAINED IN DETAIL: • WHAT is the LIMIT of a FUNCTION? ▶OF... PROPERTIES OF THE LIMIT: • WHAT'S BEHIND THE FAMOUS PROPERTIES... WHAT IS OPTIMIZATION?: • Why SHOULD YOU LEARN OPTIMIZATION... WHERE DO SIN, COS AND TAN COME FROM?: • REALLY UNDERSTANDING WHAT SIN, COS ARE... UNDERSTANDING SIN, COS AND TAN: • UNDERSTANDING THE SIN, COS AND TAN FUNCTIONS... CHAPTERS: 00:00 Introduction 00:30 Motivation 02:00 What is the derivative? 02:41 Why is the derivative important? 05:03 Optimization 06:15 Applications of the derivative in kinematics (Physics) 06:48 Applications in celestial mechanics 07:36 Applications in rockets 08:32 Applications in civil engineering 09:05 Applications in artificial intelligence 09:45 Importance of mathematics in general 11:15 Acknowledgements and farewell You can support the making of more videos like this by being a MEMBER OF THE CHANNEL, with your help I will be able to make more videos until I complete a playlist with university mathematics from the most basic to the most complex through animations! JOIN: https://www.youtube.com/channel/UCr3b... MUSIC: Kevin Bryce: https://www.youtube.com/channel/UCKro... VIDEOS: https://pixabay.com/es/videos/ THESE VIDEOS MAY INTEREST YOU: WHAT IS THE INTEGRAL? • What is the INTEGRAL? MEANING of... DERIVATION RULES: • The UNKNOWN side of the DERIVATIVE ????... ************************************************************************************************** The animations in this video were made with Manim (Mathematical animation), a library for Python created by Grant Sanderson (3Blue1Brown). Personally, I find it a very useful tool to be able to better explain many concepts visually. If you are interested, here is the link to the Manim library for Python: https://github.com/3b1b/manim Without further ado, thank you for your attention and see you in the next video!