¿Derivada de Producto es igual a Producto de Derivadas? - Ecuaciones Diferenciales

A student forgot the product rule for derivatives and thought that the derivative of a product is equal to the product of the derivatives. If we know one of the functions, what was the other function? 00:00 Introduction and Problem Statement 01:00 Creating the Differential Equation 02:05 Applying the Product Rule and Differentiation 03:11 Simplifying the Equation 04:20 Solving by Separation of Variables 05:53 Integrating the Equation 07:24 Isolating the Desired Function 08:41 Checking the Result 14:14 Acknowledgments and Closing Remarks #calculus #derivatives #differentialequations __________________________________ ** IMPORTANT LINKS ** Derivatives:    • Curso Completo de Derivadas   Applications of Derivatives:    • Aplicaciones de las DERIVADAS   Integrals:    • Curso Completo de Integrales - Cálculo Int...   Applications of Integrals:    • Aplicaciones de las Integrales   Ordinary Differential Equations (ODEs):    • Curso Completo de Ecuaciones Diferenciales   Partial Differential Equations (PDEs):    • Curso Completo de Ecuaciones en derivadas ...   Linear Algebra:    • Curso de ÁLGEBRA LINEAL   Complex Variables:    • Curso Completo de Variable Compleja (Cálcu...   Multivariable Calculus:    • Curso Completo de Cálculo de varias variab...   Double and Triple Integrals:    • Integrales dobles y triples   Systems of Differential Equations:    • Sistemas de Ecuaciones Diferenciales Ordin...   Sequences and Series:    • Sucesiones y Series (Sumatorias, notación ...   Exclusive Videos:    • Members-only videos   Math Review Course (Pre-University):    • Curso de Repaso de Matemáticas   __________________________________ ** SEE ALL MY COURSES HERE ** https://matefacil.net/ __________________________________ ** BIBLIOGRAPHY ** Differential Equations, Edwards and Penney Differential Equations, Dennis Zill Differential Equations, Daniel Marcus Differential Equations, Haberman Differential Equations, Nagle Differential Equations, Boyce DiPrima __________________________________ ** DONATIONS ** Paypal: https://www.paypal.com/cgi-bin/webscr... Channel Memberships:    / @matefacilyt   Patreon:   / matefacil   __________________________________ ** MY OTHER CHANNELS AND SOCIAL MEDIA ** Telegram Group: https://t.me/matefacilgrupo Physics Channel:    / @matefacilfisica   Gaming Channel:    / @matefacily   Twitch:   / matefacil   Facebook (Page):   / matefacilyt   Twitter:   / matefacilx   Instagram:   / matefacilx   TikTok:   / matefacilx   Discord:   / discord   __________________________________ #Matefacil #Mathematics #Math #tutorial #tutor #tutorials #teacher __________________________________ - The best free math courses. Complete math courses from scratch. Step-by-step math video tutorials.