Shortcuts of minima/ maxima Flashcards
1
Q
What determines if the stationary point is a minima or maxima for polynomial of degree 2? (SHORTCUT)
A
- A degree 2 polynomial in one variable represents a parabola.
- If the coefficient of x² >0, the parabola has a minima at the stationary point.
- If the coefficient of x² <0, the parabola has a maxima at the stationary point.
2
Q
Shortcut 1
A
3
Q
Shortcut 2
A
4
Q
Shortcut 3
A
5
Q
Shortcut 4
A
6
Q
Shortcut 5
A
7
Q
Maxima / Minima of exponential function
A
8
Q
Global maximum of f(x) in [a,b]
A
9
Q
Global minimum of f(x) in [a,b]
A
10
Q
Extremize meaning
A
Extremize a function means to find its maximum or minimum values
11
Q
Extremize u = f(x,y)
A
12
Q
Maxima/minima occurring at stationary point for even degree of n variables (n≥1)
A