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SubjectLinkParentNameTranslation of NameSubjectNum topics
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% translated
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Universe
http://expii.com/map/0
UniverseUniverseVũ TrụUniverse11100%
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Math
http://expii.com/map/1617
UniverseMathMôn ToánMath11100%
4
Science
http://expii.com/map/8910
UniverseScienceKhoa HọcScience11100%
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Calculus
http://expii.com/map/1
MathCalculusGiải TíchCalculus559122%
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Calculus
http://expii.com/map/2
CalculusDerivatives and IntegralsĐạo hàm và Tích Phân
Biology Keystone
35600%
7
Calculus
http://expii.com/map/118
Derivatives and Integrals
DerivativesĐạo hàmPhysics83800%
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Calculus
http://expii.com/map/10003
DerivativesExtension: Multiple VariablesMở rộng: Hàm nhiều biếnAstronomy27900%
9
Calculus
http://expii.com/map/9829
Extension: Multiple Variables
Extension: Directional DerivativesAlgebra 148421043%
10
Calculus
http://expii.com/map/9982
Extension: Multiple Variables
Extension: Partial DerivativesAlgebra 259200%
11
Calculus
http://expii.com/map/120
DerivativesAnalyzing Functions: the Shape of a Graph
Advanced Topics
193800%
12
Calculus
http://expii.com/map/10378
Analyzing Functions: the Shape of a Graph
Extension: Checking InjectivityGeometry74900%
13
Calculus
http://expii.com/map/123
Analyzing Functions: the Shape of a Graph
Calculus of Increasing and Decreasing Functions
Biology231700%
14
Calculus
http://expii.com/map/124
Analyzing Functions: the Shape of a Graph
What Does Always-Zero Derivative Mean?Chemistry69000%
15
Calculus
http://expii.com/map/127
Analyzing Functions: the Shape of a Graph
What are Extrema and Critical Points?Pre-Algebra22615870%
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Calculus
http://expii.com/map/128
What are Extrema and Critical Points?
Local and Global ExtremaEarth Science48800%
17
Calculus
http://expii.com/map/129
What are Extrema and Critical Points?
Derivatives at Local Extrema88051582%
18
Calculus
http://expii.com/map/130
What are Extrema and Critical Points?
What are Saddle Points and Turning Points?
19
Calculus
http://expii.com/map/131
What are Extrema and Critical Points?
What are Critical Points?
20
Calculus
http://expii.com/map/132
Analyzing Functions: the Shape of a Graph
Rolle's Theorem and MVT
Contribution leaderboard
21
Calculus
http://expii.com/map/133
Rolle's Theorem and MVT
Rolle's TheoremĐịnh lí Rơ-le
http://expii.com/leaderboard
22
Calculus
http://expii.com/map/134
Rolle's Theorem and MVT
Mean Value TheoremĐịnh lí giá trị trung bình
23
Calculus
http://expii.com/map/710
Rolle's Theorem and MVT
Extension: MVT for "Projections" of $\ge2$-D Parametric Curves
24
Calculus
http://expii.com/map/711
Rolle's Theorem and MVT
Extension: $\ge2$-D "Parametric" Rolle's Theorem in Arbitrary Directions
25
Calculus
http://expii.com/map/712
Rolle's Theorem and MVT
Extension: 2-D Parametric MVT (Cauchy's MVT)
26
Calculus
http://expii.com/map/135
Analyzing Functions: the Shape of a Graph
Extension: Darboux's Theorem
27
Calculus
http://expii.com/map/136
Extension: Darboux's Theorem
Extension: Derivative "IVT", Part 1
28
Calculus
http://expii.com/map/137
Extension: Darboux's Theorem
Extension: Derivative "IVT", Part 2
29
Calculus
http://expii.com/map/138
Extension: Darboux's Theorem
Extension: Darboux's Theorem from MVT (and IVT)
30
Calculus
http://expii.com/map/139
Extension: Darboux's Theorem
Extension: Discontinuities in Derivative Functions, Take 1
31
Calculus
http://expii.com/map/140
Analyzing Functions: the Shape of a Graph
Drawing Derivative Functions
32
Calculus
http://expii.com/map/141
Drawing Derivative Functions
Sketching, Part 1: Continuous, Differentiable Functions
33
Calculus
http://expii.com/map/142
Drawing Derivative Functions
Sketching, Part 2: Discontinuities, Cusps, and Vertical Tangents
34
Calculus
http://expii.com/map/65
Analyzing Functions: the Shape of a Graph
Function Convexity and Concavity
35
Calculus
http://expii.com/map/122
Function Convexity and Concavity
Concave (Up and Down) Functions and Inflection Points
36
Calculus
http://expii.com/map/125
Function Convexity and Concavity
Relative Location of Tangents to Concave Up/Down Functions
37
Calculus
http://expii.com/map/126
Function Convexity and Concavity
Extension: Relative Location of Secants, and Jensen's Inequality
38
Calculus
http://expii.com/map/8949
Analyzing Functions: the Shape of a Graph
Effect of Transformations on Derivatives and Tangent Lines
39
Calculus
http://expii.com/map/157
DerivativesDifferentiation Rules and Computations
40
Calculus
http://expii.com/map/10329
Differentiation Rules and Computations
Radicals and Power Rule
41
Calculus
http://expii.com/map/10328
Radicals and Power Rule
Derivative of $n$th Root
42
Calculus
http://expii.com/map/160
Radicals and Power Rule
Power Rule for Rational Exponents
43
Calculus
http://expii.com/map/163
Radicals and Power Rule
Full Power Rule
44
Calculus
http://expii.com/map/119
Differentiation Rules and Computations
PolynomialsĐa thức
45
Calculus
http://expii.com/map/1244
Differentiation Rules and Computations
Extension: Hyperbolic FunctionsMở rộng: Hàm Hyperbol
46
Calculus
http://expii.com/map/143
Differentiation Rules and Computations
Product and Quotient Rules
Đạo hàm của tích và thương các hàm số
47
Calculus
http://expii.com/map/146
Product and Quotient Rules
Product RuleĐào hàm của tích các hàm số
48
Calculus
http://expii.com/map/147
Product and Quotient Rules
Quotient RuleĐạo hàm của thương các hàm số
49
Calculus
http://expii.com/map/149
Product and Quotient Rules
Derivative of $1/f$ (Reciprocal)
50
Calculus
http://expii.com/map/144
Differentiation Rules and Computations
MonomialsĐơn thức
51
Calculus
http://expii.com/map/158
MonomialsPower Rule for Integer Exponents
52
Calculus
http://expii.com/map/165
MonomialsWarning: Derivative of $3^2$
53
Calculus
http://expii.com/map/145
Differentiation Rules and Computations
Chain Rule
54
Calculus
http://expii.com/map/148
Differentiation Rules and Computations
Sums, Differences, and Constant Multiples
55
Calculus
http://expii.com/map/150
Differentiation Rules and Computations
Implicit Functions and Differentiation
56
Calculus
http://expii.com/map/153
Implicit Functions and Differentiation
Implicit Functions
57
Calculus
http://expii.com/map/155
Implicit Functions and Differentiation
Extension: Implicit Differentiation, More Rigorously
58
Calculus
http://expii.com/map/156
Implicit Functions and Differentiation
Implicit Differentiation
59
Calculus
http://expii.com/map/159
Differentiation Rules and Computations
Trig Functions
60
Calculus
http://expii.com/map/161
Differentiation Rules and Computations
Exponentials
61
Calculus
http://expii.com/map/164
Differentiation Rules and Computations
Using the Limit Definition
62
Calculus
http://expii.com/map/9984
Differentiation Rules and Computations
Logs and Trig Inverses
63
Calculus
http://expii.com/map/151
Logs and Trig Inverses
Derivative of $f^{-1}$ (Inverse)
64
Calculus
http://expii.com/map/152
Logs and Trig Inverses
Extension: Logarithmic Differentiation
65
Calculus
http://expii.com/map/162
Logs and Trig Inverses
Inverse Trig Functions
66
Calculus
http://expii.com/map/9981
Logs and Trig Inverses
Logarithms
67
Calculus
http://expii.com/map/166
DerivativesWhat are Derivatives?
68
Calculus
http://expii.com/map/168
What are Derivatives?
Differentiability Implies Continuity
69
Calculus
http://expii.com/map/169
What are Derivatives?
Continuity Does Not Imply Differentiability
70
Calculus
http://expii.com/map/170
What are Derivatives?
Derivative as a Function
71
Calculus
http://expii.com/map/171
What are Derivatives?
Higher Derivatives
72
Calculus
http://expii.com/map/172
What are Derivatives?
Derivatives "Equal to Infinity"
73
Calculus
http://expii.com/map/173
What are Derivatives?
Tangent Lines and Linearization
74
Calculus
http://expii.com/map/174
Tangent Lines and Linearization
Differentials in Linear Approximation
75
Calculus
http://expii.com/map/175
Tangent Lines and Linearization
Extension: Error Analysis
76
Calculus
http://expii.com/map/176
Tangent Lines and Linearization
Tangent Line and Approximation at a Point
77
Calculus
http://expii.com/map/4046
Tangent Lines and Linearization
Extension: Why Linear Approximation Specifically?
78
Calculus
http://expii.com/map/177
What are Derivatives?
Derivative at a Point
79
Calculus
http://expii.com/map/167
Derivative at a Point
Intuition
80
Calculus
http://expii.com/map/178
Derivative at a Point
Definition, Examples, and Interpretations
81
Calculus
http://expii.com/map/179
Derivative at a Point
Intuition for Differentials ($dy$)
82
Calculus
http://expii.com/map/180
What are Derivatives?
Estimating Derivatives
83
Calculus
http://expii.com/map/181
Estimating Derivatives
Extension: Numerical Differentiation Algorithms, and Error Analysis
84
Calculus
http://expii.com/map/182
Estimating Derivatives
Estimation Given a Graph
85
Calculus
http://expii.com/map/183
Estimating Derivatives
Estimation Given Function Values
86
Calculus
http://expii.com/map/184
Derivatives and Integrals
Applications of Derivatives
87
Calculus
http://expii.com/map/10043
Applications of Derivatives
Extension: Iterative Optimization
88
Calculus
http://expii.com/map/1229
Applications of Derivatives
Exponential Growth and Decay
89
Calculus
http://expii.com/map/1243
Applications of Derivatives
Review of Chain Rule and Implicit Differentiation
90
Calculus
http://expii.com/map/1245
Applications of Derivatives
Review of Derivative
91
Calculus
http://expii.com/map/1246
Applications of Derivatives
Summary of Linear Approximation
92
Calculus
http://expii.com/map/185
Applications of Derivatives
Slopes in Polar and Parametric Coordinates
93
Calculus
http://expii.com/map/187
Slopes in Polar and Parametric Coordinates
Slopes in Polar and Parametric Coordinates
94
Calculus
http://expii.com/map/188
Slopes in Polar and Parametric Coordinates
Extension: Another Look at the Extended (Cauchy's) Mean Value Theorem
95
Calculus
http://expii.com/map/186
Applications of Derivatives
Related Rates
96
Calculus
http://expii.com/map/189
Applications of Derivatives
Newton's Method
97
Calculus
http://expii.com/map/190
Newton's Method
Newton's Method for Approximating Zeros of Functions
98
Calculus
http://expii.com/map/191
Newton's Method
Extension: Shortcomings of Newton's Method
99
Calculus
http://expii.com/map/192
Applications of Derivatives
Physical Applications
100
Calculus
http://expii.com/map/193
Physical Applications
Physical Extrema and Optimization