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...
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)
xc
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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