Increasing/decreasing functions, stationary values and optimisation Flashcards
1
Q
A function is increasing when?
A
f’(x)>0
2
Q
A function is decreasing when?
A
f’(x)<0
3
Q
A function is stationary when?
A
f’(x)=0
4
Q
How to show that a function is always increasing (decreasing)?
A
Differentiate then complete the square to show that f’(x)>0 (f’x)<0 for all values of x
5
Q
How do you find the solution to an optimisation?
A
Investigate stationary points/ and end points if necessary, always do Part B
6
Q
What do you get if you differentiate distance?
A
Speed
7
Q
What do you get if you differentiate speed?
A
Acceleration
