Differential Calculus

Learning tasks

A) Chain Rule
1) Forming Composite Functions	Ex 1 Ex 2 Ex 3 Ex 4
2) Decomposing Composite Functions	Ex 5 Ex 6 Ex 7 Ex 8
3) Differentiating with the Chain Rule	Ex 9 Ex 10 Ex 11 Ex 12
4) Determining Variations of Composite Functions	Ex 13 Ex 14 Ex 15
B) Second Derivative
5) Calculating the First and Second Derivative: Level 1	Ex 16 Ex 17 Ex 18
6) Calculating the First and Second Derivative: Level 2	Ex 19 Ex 20 Ex 21
C) Concavity
7) Determining Concavity Graphically	Ex 22 Ex 23 Ex 24 Ex 25
8) Determining Concavity: Level 1	Ex 26 Ex 27 Ex 28
9) Determining Concavity: Level 2	Ex 29 Ex 30
10) Proving Inequalities using Convexity	Ex 31 Ex 32
D) Points of Inflection
11) Identifying Points of Inflection from a Graph	Ex 33 Ex 34
12) Determining Points of Inflection	Ex 35 Ex 36 Ex 37 Ex 38 Ex 39

Lesson
Text book

Exercises Correction
A) Chain Rule
    1) Forming Composite Functions Ex 1 Ex 2 Ex 3 Ex 4
    2) Decomposing Composite Functions Ex 5 Ex 6 Ex 7 Ex 8
    3) Differentiating with the Chain Rule Ex 9 Ex 10 Ex 11 Ex 12
    4) Determining Variations of Composite Functions Ex 13 Ex 14 Ex 15
B) Second Derivative
    5) Calculating the First and Second Derivative: Level 1 Ex 16 Ex 17 Ex 18
    6) Calculating the First and Second Derivative: Level 2 Ex 19 Ex 20 Ex 21
C) Concavity
    7) Determining Concavity Graphically Ex 22 Ex 23 Ex 24 Ex 25
    8) Determining Concavity: Level 1 Ex 26 Ex 27 Ex 28
    9) Determining Concavity: Level 2 Ex 29 Ex 30
    10) Proving Inequalities using Convexity Ex 31 Ex 32
D) Points of Inflection
    11) Identifying Points of Inflection from a Graph Ex 33 Ex 34
    12) Determining Points of Inflection Ex 35 Ex 36 Ex 37 Ex 38 Ex 39