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Calculus

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CALCULUS NOTES

Name:

MATHEMATICS

Hilary Dorgan
Leaving Certificate

Higher Level

2020 - 2021

CALCULUS
NOTES

© H Dorgan IOE Maths HL 1

,CALCULUS NOTES

CONTENTS

Syllabus Page 3

Limits Page 4

Trigonometrical Limits Page 5

Differentiation from First Principles Page 5

Rules of Differentiation (Product, Quotient, Chain) Page 6

Practising the Rules of Differentiation Page 7

Differentiating Trig, Exponential & Log Functions Page 8

Differentiating Inverse Sine & Inverse Tan Functions Page 9

Second Derivatives Page 10

Applications of Calculus Page 11

Slope of a Tangent to a Curve Page 12

Finding Maxima, Minima and Points of Inflection Page 13

Curve Sketching Page 14

Displacement, Velocity, Acceleration Page 14

Rates of Change Page 16

Maxima & Minima Page 17

Sketching Derivative Curves Page 21

Implicit Differentiation Page 22

Points to Remember Page 23

© H Dorgan IOE Maths HL 2

, CALCULUS NOTES

Differential Calculus Paper 1 SYLLABUS
Functions and Calculus

© H Dorgan IOE Maths HL 3

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Institution: Federal polytechnic ado ekiti
Course: Mth221

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Uploaded on: May 21, 2025
Number of pages: 25
Written in: 2010/2011
Type: Class notes
Professor(s): Mr adaraniwon
Contains: All classes

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differentiate
limit
chain rule

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