Differential Calculus

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LESSONS & CONTENT

1
First Principle

First Principle

~15 min
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2
Formula For Derivatives

Formula For Derivatives

~15 min
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3
Product Rule

Product Rule

~15 min
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4
Quotient Rule

Quotient Rule

~15 min
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5
Chain Rule

Chain Rule

~15 min
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6
Sum & Difference Rule

Sum & Difference Rule

~15 min
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7
Derivatives of Exponentials

Derivatives of Exponentials

~15 min
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8
Derivatives of Logarithms

Derivatives of Logarithms

~15 min
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9
Proof of Trig Derivatives

Proof of Trig Derivatives

~15 min
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10
Implicity Differentiation

Implicity Differentiation

~15 min
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11
Implicity Differentiation With Exponentials

Implicity Differentiation With Exponentials

~15 min
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12
Tangents & Normal Lines to a Curve

Tangents & Normal Lines to a Curve

~15 min
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13
Increasing & Decreasing Functions

Increasing & Decreasing Functions

~15 min
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14
Stationary Points & Critical Points

Stationary Points & Critical Points

~15 min
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15
Nature of Staionary Points

Nature of Staionary Points

~15 min
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16
Relative Maximum & Minimum

Relative Maximum & Minimum

~15 min
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17
Related Rates

Related Rates

~15 min
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18
Related Rates-Ladder Problem

Related Rates-Ladder Problem

~15 min
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19
Curve Sketching-Application of Differentiation

Curve Sketching-Application of Differentiation

~15 min
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20
Asymptotes of Rational Functions

Asymptotes of Rational Functions

~15 min
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21
Math Tutorial sheet 8 limits

Math Tutorial sheet 8 limits

~15 min
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22
Question 1 TS 9

Question 1 TS 9

~15 min
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23
T9 q2-q12

T9 q2-q12

~15 min
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24
Differential calculus introduction recorded class

Differential calculus introduction recorded class

~15 min
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TEST YOUR KNOWLEDGE

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Course Content
MATHEMATICS
Set Theory
Further Complex Numbers
Functions -Polynomials, Radicals, Absolute Value, Rational etc (All)
Exponentials & Logarithmic Functions
Binomial Expansions - Pascals Triangle, Binomial Theorem
Trigonometry
Ineaqualities
Partial Fractions
LIMITS - Calculus
Differential Calculus
First Principle
Formula For Derivatives
Product Rule
Quotient Rule
Chain Rule
Sum & Difference Rule
Derivatives of Exponentials
Derivatives of Logarithms
Proof of Trig Derivatives
Implicity Differentiation
Implicity Differentiation With Exponentials
Tangents & Normal Lines to a Curve
Increasing & Decreasing Functions
Stationary Points & Critical Points
Nature of Staionary Points
Relative Maximum & Minimum
Related Rates
Related Rates-Ladder Problem
Curve Sketching-Application of Differentiation
Asymptotes of Rational Functions
Math Tutorial sheet 8 limits
Question 1 TS 9
T9 q2-q12
Differential calculus introduction recorded class
Integral Calculus
Matrices Full and MSM112 Tutorial Sheet 2
Conic Sections - Analytic Geometry
Sampling & Treatment of Analytical Data