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حساب التفاضل-1050ريض
Chapter 1 : Pre-Calculus
Real Numbers System
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Real Numbers System
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Set of numbers – real (number) line
Set of numbers: Exercise
Intervals
Real Numbers System
Introduction to Functions and Some-Important-Functions
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Introduction to Functions and Some-Important-Functions
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constants – Variables – function defination – vertical line test and Some-Important-Functions
Domain and Range Part (1)
Domain and Range Part (2)
Combining Functions (algebra of functions)
Introduction to Functions
Some Important Functions
The value of a function
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The value of a function
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Value of a function
The value of a function
Composition of functions
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Composition of functions
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Function Composition
Composition of functions
Even and Odd Functions
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Even and Odd Functions
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Symmetry – even and odd functions
Even and Odd Functions
Chapter 2 : Limits and Continuity
Introduction to Limits
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Introduction to Limits
Tabular and graphical methods
examples on tabular and graphical methods
one-sided limit
examples on one-sided limits part 1
examples on one-sided limits part 2
algebra of limits part 1
algebra of limits part 2
algebra of limits part 3
infinite limits
limits at infinty
Continuity at a point and Continuous Functions
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Continuity at a point and Continuous Functions
Continuity at a point and Continuous Functions part 1
Continuity at a point and Continuous Functions part 2
Continuity at a point and Continuous Functions part 3
Chapter 3 : Differentiability
Introduction to Derivatives
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Introduction to Derivatives
DERIVATIVE AND THE TANGENT
Examples part 1
Examples part 2
Examples part 3
DERIVATIVE OF TRIGONOMETRIC FUNCTION
Rules of Differentiation
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Rules of Differentiation
DIFFERENTIATION RULES
Examples
DIFFERENTIATION RULES (Continued)
Derivative of Composite Functions
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Derivative of Composite Functions
Chain Rule (General Power Rule)
Chain Rule (General Trigonometric Functions)
Derivative of Inverse Trigonometric Functions
Differentiation of Implicit Functions
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Differentiation of Implicit Functions
IMPLICIT DIFFERENTIATION
Logarithmic Differentiation and use of Trigonometric Substitutions
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Logarithmic Differentiation and use of Trigonometric Substitutions
Logarithimic Differentiation
Higher Order Derivatives
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Higher Order Derivatives
HIGHER ORDER DERIVATIVES
Differentiation of Parametric Functions
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Differentiation of Parametric Functions
Parametric Differentiation
Derivatives of Hyperbolic and Inverse Hyperbolic functions
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Derivatives of Hyperbolic and Inverse Hyperbolic functions
Hyperbolic functions
Chapter 4 : Applications of Derivatives
Rate of Change of Quantities and Related Rates
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Rate of Change of Quantities and Related Rates
Exercises part 1
Exercises part 2
Mean Value Theorems
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Mean Value Theorems
Rolle’s Theorem
“Mean Value Theorem (Lagrange’s Theorem)”
Tangents and Normals
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Tangents and Normals
Equations of Tangent and NormaL Part 1
Equations of Tangent and NormaL Part 2
Decreasing and Increasing Functions
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Decreasing and Increasing Functions
Increasing and Decreasing Functions – Monotonic Functions
Increasing and decreasing test
Critical points
“First derivative test (Finding Local Extrema)”
Concavity and Point of Inflecion
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Concavity and Point of Inflecion
“Second derivative test (Finding Concavity)”
Point of Inflection
“Second derivative test (Finding Local Extrema)”
Absolute extrema
Find absolute extrema on close interval using critical points
“Exercises (Applications of maxima and minima)” part 1
“Exercises (Applications of maxima and minima)” part 2
“Exercises (Applications of maxima and minima)” part 3
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Composition of functions
حساب التفاضل-1050ريض
Composition of functions
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Function Composition
Composition of functions
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