Modelling with Differentiation inc. Optimisation (AQA A-Level Mathematics): Flashcards
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Practise the cards
10 cards from this deck
Differentiation represents
Differentiation represents
The rate of change
Optimisation involves finding
Optimisation involves finding
Maximum or minimum values of a function
The objective function represents
The objective function represents
The quantity you want to maximise or minimise
How to find critical points
How to find critical points
Solve
If , the point is a
If , the point is a
Local minimum
If , the point is a
If , the point is a
Local maximum
Critical points are where
Critical points are where
Function could have a maximum or minimum
Notation for differential of w.r.t.
Notation for differential of w.r.t.
rac{dA}{dp}
Test used to classify critical points
Test used to classify critical points
Second derivative test
First derivative represents
First derivative represents
Rate of change of function w.r.t.