The derivative is the local change in a function. Leibniz described the derivative as the proportionality factor between infinitesimal changes in the input values and the resulting function values. I'll show you the definition using the differential quotient in this video!
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Contents:
0:00 Introduction
0:10 What is a derivative?
0:35 Secant & Tangent
6:35 Why do we need them?
8:41 Outro
Why #MathPeter:
Many of you find math difficult during your studies or training. You even have to take a math exam. Honestly, there are better things in life than preparing for a math exam. During my time as a tutor at university, I realized that learning math can be easier. On this channel, we'll work through the basics for your exam together. This channel also serves as a supplement to online and offline tutoring. The goal is to make learning math as easy as possible. Crash courses, videos, and video courses are coming soon. I look forward to seeing you there! Just send me a message.