HAPPY HALLOWEEN YOUS GAIS! haha.
a brief overview of what we learned last week:
Rolle's theorem - used to find max and min on a given interval; check differentiability, check continuity. if it is uncontinuous and nondifferentiable, rolle's theorem cannot be applied; if it is continuous and differentiable, continue by plugging in intervals into the original problem, then take the derivative and set = to 0. solve for x
Mean Value Theorem - check differentiability, check continuity, check slope, take derivative and set = 0, solve for x.
First Derivative Test - take derivative (duh) and set = 0, solve for x, set up intervals: (-infinity, ) u ( , infinity) plug in value on interval into the derivative
Extreme values - maxes and minimums; absolute max is the highest point, and absolute min is the lowest point.
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