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Summary Grade 12 Mathematics differincial calculus notes explained with exam questions $5.65   Add to cart

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Summary Grade 12 Mathematics differincial calculus notes explained with exam questions

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Grade 12 Mathematics differincial calculus explain. As challenging differinal calculus is in math's these notes will make your life MUCH MORE easier The following topics make up each of the TWO exam papers that you write at the end of the year: Paper 1: Patterns and sequences; Finance, growt...

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  • September 2, 2024
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MATHEMATICS GRADE 12 DIFFERENTIAL CALCULUS PART 1


DIFFERENTIAL CALCULUS
LIMITS, FIRST PRINCIPALS, RULES OF DIFFERENTIATION
AND THE EQUATION OF A TANGENT TO A FUNCTION




1. LIMITS
 When finding a limit, we look at what happens to a function value of a curve
(y – value) as we get closer and closer to a specific x – value on the curve.
 When writing a limit, we use the notation lim f ( x)
xc

 The abbreviation ‘lim’ tells us we are finding a limit
 The notation ‘ ’ tells us which specific value the x – value is
approaching
 represents the function with which we are working




 Examples:




1

, MATHEMATICS GRADE 12 DIFFERENTIAL CALCULUS PART 1




The DERIVATIVE of a function gives the GRADIENT (or rate of change) of that
function at any point on the curve.




2. FIRST PRINCIPLES & THE RULES OF DIFFERENTIATION




2

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