EE-Learning
Analyzing a function with its derivative
Catogry:
Math
Subject:
AP Calculus AB
Course:
Applying Derivatives To Analyze Functions
Lecture List
Horizontal tangent to implicit curve
Motion problems: finding the maximum acceleration
Optimization: area of triangle & square (Part 2)
Optimization: area of triangle & square (Part 1)
Optimization: cost of materials
Optimization: profit
Optimization: box volume (Part 2)
Optimization: box volume (Part 1)
Optimization: sum of squares
Connecting f, f', and f'' graphically (another example)
Connecting f, f', and f'' graphically
Justification using second derivative: maximum point
Justification using second derivative: inflection point
Inflection points from graphs of function & derivatives
Justification using first derivative
Calculus based justification for function increasing
Analyzing a function with its derivative
Curve sketching with calculus: logarithm
Curve sketching with calculus: polynomial
Second derivative test
Mistakes when finding inflection points: not checking candidates
Mistakes when finding inflection points: second derivative undefined
Inflection points (algebraic)
Analyzing concavity (algebraic)
Inflection points (graphical)
Inflection points introduction
Analyzing concavity (graphical)
Concavity introduction
Absolute minima & maxima (entire domain)
Finding absolute extrema on a closed interval
Analyzing mistakes when finding extrema (example 2)
Analyzing mistakes when finding extrema (example 1)
Worked example: finding relative extrema
Finding relative extrema (first derivative test)
Introduction to minimum and maximum points
Finding increasing interval given the derivative
Finding decreasing interval given the function
Finding critical points
Critical points introduction
Extreme value theorem
Mean value theorem application
Justification with the mean value theorem: equation
Justification with the mean value theorem: table
Mean value theorem example: square root function
Mean value theorem example: polynomial
Mean value theorem