1
Q
Definition
Limits of Functions
A
2
Q
Lemma
Limits and Continuity
A
3
Q
Theorem
Continuous and Sequential Limits
A
4
Q
Theorem
Algebra of Limits
A
5
Q
Definition
One-sided Limit
A
6
Q
Definition
Infinite Limit
A
7
Q
Definition
Limit at Infinity
A
8
Q
Definition
The Derivative
A
9
Q
Lemma
Differentiability and Continuity
Proof
A
10
Q
Theorem
Sum and Product Rules
Proof
A
11
Q
Lemma
Derivatives of Monomials
Proof
A
12
Q
Theorem
Chain Rule
Proof
A
13
Q
Lemma
Local Linearisation
Proof
A
14
Q
Theorem
Mean Value Theorem
Proof
A
15
Q
Corollary
Functions with Positive Derivative
Proof
A
16
Q
Corollary
Functions with Zero Derivative
A
.
17
Q
Theorem
Rolle’s Theorem
Proof
A
18
Q
Theorem
Extrema and Derivatives
A
19
Q
Theorem
Derivatives of Inverses
Proof
A
MA139
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