Maximum Values (Leaving Cert Mathematics): Flashcards
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14 cards from this deck
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Practise the cards
14 cards from this deck
What do we call values at highest points on a curve?
What do we call values at highest points on a curve?
Maximum values
What are maximum points called?
What are maximum points called?
Turning points
Value of derivative at max/min turning points?
Value of derivative at max/min turning points?
What process involves finding maximum values?
What process involves finding maximum values?
Optimisation
Step 2 in finding max values?
Step 2 in finding max values?
Differentiate the function
Step 3 in finding max values?
Step 3 in finding max values?
Set derivative equal to zero and solve
Step 4 in finding max values?
Step 4 in finding max values?
Substitute back into original function
Direction change at maximum?
Direction change at maximum?
Increasing to decreasing
Shape of curve at a maximum (symbol)?
Shape of curve at a maximum (symbol)?
∩ shape (up then down)
Shape of curve at a minimum (symbol)?
Shape of curve at a minimum (symbol)?
∪ shape (down then up)
Negative coefficient of gives?
Negative coefficient of gives?
Maximum (opens downward)
Positive coefficient of gives?
Positive coefficient of gives?
Minimum (opens upward)
Common max value exam problem type?
Common max value exam problem type?
Projectile motion
Another common max value problem type?
Another common max value problem type?
Area optimisation