Differential calculus

OpenStax

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Introduction, limits, average gradient

1 Why do i have to learn this stuff?

2 Integral calculus

4 A tale of achilles and the tortoise

5 Sequences, series and functions

7 Investigation : limits

8 Average gradient and gradient at a point

Differentiation (first principles, rules) and sketching graphs

1 Differentiation from first principles

3 Rules of differentiation

4 Investigation : rules of differentiation

5 Summary of differentiation rules

6 Rules of differentiation

7 Applying differentiation to draw graphs

8 Finding equations of tangents to curves

9 Curve sketching

10 Sketching graphs

11 Local minimum, local maximum and point of inflextion

Solving problems

1 Using differential calculus to solve problems

2 Solving optimisation problems using differential calculus

3 Rate of change problems

4 End of chapter exercises

Source: OpenStax, Siyavula textbooks: grade 12 maths. OpenStax CNX. Aug 03, 2011 Download for free at http://cnx.org/content/col11242/1.2

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