Understanding Differentiation Part 2: Rates of Change

Differentiation and integration are the two main operations in calculus. We just discussed one way to interpret differentiation by finding the equation for a tangent line. Let's look at one other way to interpret differentiation, by discussing the rate of change in the position of an object, or its velocity. As it turns out these two approaches are really the same thing, so let's see how this works! Watch the whole Calculus playlist: http://bit.ly/ProfDaveCalculus Watch the whole Mathematics playlist: http://bit.ly/ProfDaveMath Classical Physics Tutorials: http://bit.ly/ProfDavePhysics1 Modern Physics Tutorials: http://bit.ly/ProfDavePhysics2 General Chemistry Tutorials: http://bit.ly/ProfDaveGenChem Organic Chemistry Tutorials: http://bit.ly/ProfDaveOrgChem Biochemistry Tutorials: http://bit.ly/ProfDaveBiochem Biology Tutorials: http://bit.ly/ProfDaveBio EMAIL► [email protected] PATREON►   / professordaveexplains   Check out "Is This Wi-Fi Organic?", my book on disarming pseudoscience! Amazon: https://amzn.to/2HtNpVH Bookshop: https://bit.ly/39cKADM Barnes and Noble: https://bit.ly/3pUjmrn Book Depository: http://bit.ly/3aOVDlT