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Home Courses Pre-University Calculus Course materials Lectures 5.1 Introduction Differentiation

5.1 Introduction Differentiation

Course week(s) Week 5
Course subject(s) 5. Differentiation

This lecture the topic is Differentiation. First we will explore the concept of differentiation by looking at roller coasters. You will learn the definition of a derivative. This can be used to calculate speed and to obtain the slope of a tangent line for instance. Then we will discuss standard derivatives and rules of calculation. We will also discuss the concept of differentiability and the use of differentiation in optimization problems.

The university preview of this lecture is on differential equations. These equations play an important role in engineering.

Do you like roller coasters? Watch the video and enjoy speed and slope!

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Pre-University Calculus by TU Delft OpenCourseWare is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Based on a work at https://ocw.tudelft.nl/courses/pre-university-calculus/.
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