Limits and Derivatives G11

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Limits 3 Topics
Introduction to Limits
Right hand limit and Left hand limit
Algebra of limits
Limits of polynomials and rational functions 4 Topics
Limit of Polynomials
Limit of Rational functions – Part 1
Limit of Rational functions – Part 2
Limit of Rational functions – Part 3
Limits of Trigonometric Functions 4 Topics
Idea behind Sandwich Theorem
Sandwich Theorem in detail
Application of Sandwich Theorem – Part 1
Application of Sandwich Theorem – Part 2
Derivative as Instantaneous Rate of Change 3 Topics
Review – Derivative as Instantaneous Rate of Change – P1
Review – Derivative as Instantaneous Rate of Change – P2
Derivative Notations
Finding Derivative using the Definition 3 Topics
Finding Derivative using the Definition
Derivative of Trigonometric Functions – sin x
Derivative of Trigonometric Functions – cos x
Rules of Differentiation 3 Topics
Rules of Differentiation – Constant Rule
Rules of Differentiation – Power Rule
Rules of Differentiation – Constant Multiple Rule
Algebra of derivative of functions 5 Topics
Rules of differentiation – Sum and Difference Rule
Rules of Differentiation – Product Rule – P1
Rules of Differentiation – Product Rule – P2
Rules of Differentiation – Product Rule – P3
Rules of Differentiation – Quotient Rule
Derivative of Polynomial Functions 1 Topic
Derivative of Polynomial Functions
Derivative of Trigonometric Functions 2 Topics
Derivative of Trigonometric Functions – tan x, cot x, sec x & cosec x
Useful trick to remember the Derivative of Trigonometric Functions
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Right hand limit and Left hand limit

100
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