Applications of Derivatives

Solve real world problems (and some pretty elaborate mathematical problems) using the power of differential calculus.

Intermediate 1 Students enrolled
Created by School Prep . Last updated Fri, 16-Apr-2021 English
Curriculum for this course
30 Lessons 08:08:46 Hours
Approximations
3 Lessons
  • Local linearity 00:09:38
  • Linear approximation example (old) 00:06:31
  • Quiz 1 1
  • Related rates intro 00:07:43
  • Related rates: Approaching cars 00:06:53
  • Related rates: Falling ladder 00:05:49
  • Related rates: water pouring into a cone 00:11:32
  • Related rates: shadow 00:10:39
  • Related rates: balloon 00:08:17
  • Quiz 2 1
  • Tangent to y= 00:07:17
  • Worked example: Tangent to the graph of 1/x 00:05:59
  • Normal to y= 00:05:27
  • Quiz 3 1
  • Optimization: sum of squares 00:07:35
  • Optimization: box volume (Part 1) 00:09:50
  • Optimization: box volume (Part 2) 00:09:00
  • Optimization: profit 00:11:27
  • Optimization: cost of materials 00:12:40
  • Optimization: area of triangle & square (Part 1) 00:06:19
  • Optimization: area of triangle & square (Part 2) 00:05:31
  • Optimization problem: extreme normaline to y=x square 00:23:13
  • Quiz 4 1
  • Applied rate of change: forgetfulness 00:05:00
  • Applied rates of change: marginal costs 00:07:46
  • Marginal cost & differential calculus 00:04:40
  • Quiz 5 1
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