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10 cards from this deck
It represents the rate of change of a function.
Points where the derivative is zero or undefined.
If >0> 0>0 it's a minimum, <0< 0<0 it's a maximum, =0= 0=0 is inconclusive.
To find maximum or minimum values of a function.
Define the problem clearly and identify variables.
It represents the quantity to maximize or minimize.
Solve f′(x)=0f'(x) = 0f′(x)=0 and check undefined points.
Optimizing profit, cost, revenue, or utility functions.
A=length×widthA = \text{length} \times \text{width}A=length×width, often subject to constraints.
It represents the highest value in a small neighborhood.
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