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.
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2
Q

Shortcut 1

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3
Q

Shortcut 2

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4
Q

Shortcut 3

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5
Q

Shortcut 4

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6
Q

Shortcut 5

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7
Q

Maxima / Minima of exponential function

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8
Q

Global maximum of f(x) in [a,b]

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9
Q

Global minimum of f(x) in [a,b]

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10
Q

Extremize meaning

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Extremize a function means to find its maximum or minimum values

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11
Q

Extremize u = f(x,y)

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12
Q

Maxima/minima occurring at stationary point for even degree of n variables (n≥1)

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