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10 cards from this deck
f′(a)=0f'(a) = 0f′(a)=0 or dydx=0\frac{dy}{dx} = 0dxdy=0
Horizontal (parallel to xxx-axis)
Local maximum, local minimum, stationary point of inflection
Positive → zero → negative
Negative → zero → positive
Same sign both sides (+ to 0 to + or - to 0 to -)
Local maximum and minimum points (function changes direction)
Find derivative f′(x)f'(x)f′(x) or dydx\frac{dy}{dx}dxdy
Test sign of f′(x)f'(x)f′(x) either side using gradient table
Inflection: sign unchanged; turning: sign changes
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