Playing with graphs (using differentiation)

Let's put all of our differentiation abilities to use, by analysing the graphs of various functions. As you will see, the derivative and the second derivative of a function can tell us a lot about the function's graph.

Intermediate 0 Students enrolled
Created by School Prep . Last updated Fri, 16-Apr-2021 English
Curriculum for this course
24 Lessons 22:47:54 Hours
Critical points
5 Lessons
  • Introduction to minimum and maximum points 00:05:30
  • Identifying relative minimum and maximum values 00:03:08
  • Critical points introduction 00:07:53
  • Finding critical points 00:05:51
  • Quiz 1 5
  • Finding decreasing interval given the function 00:04:33
  • Finding increasing interval given the derivative 00:06:00
  • Quiz 2 5
  • Finding relative extrema (first derivative test) 00:05:25
  • Analyzing a function with its derivative 00:09:42
  • Worked example: finding relative extrema 00:07:49
  • Quiz 3 5
  • Absolute minima & maxima (entire domain) 00:09:24
  • Extreme value theorem 00:07:58
  • Finding absolute extrema on a closed interval 00:06:55
  • Quiz 4 5
  • Concavity introduction 00:09:54
  • Analyzing concavity (graphical) 00:02:23
  • Analyzing concavity (algebraic) 00:09:16
  • Second derivative test 00:06:13
  • Quiz 5 1
  • Notes
  • Question Bank
  • Board Previous Year Questions
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