MATH AP
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Last updated 7:48 PM on 4/29/23
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14 Terms
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MAX
CHANGE FROM + TO -
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MIN
CHANGE FROM - TO +
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INCREASING
f’(x) > 0
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DECREASING
f’(x) < 0
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CONCAVE UP
INCREASING
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CONCAVE DOWN
DECREASING
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POINT OF INFLECTION
f’ HAS AN EXTREME VALUE
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MVT
IF a function is CONTINUOUS AND DIFFERENTIABLE then the derivative and the average value will be the same at some point on the interval
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SPEED FORMULA
square root of: ((dx/dt)^2 + (dy/dt)^2)
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TOTAL DISTANCE (LENGTH OF A PARAMETRIC CURVE)
integrate from a to b- the square root of (dx/dt)^2 + (dy/dt)^2
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ARC LENGTH FORMULA (ONE DIMENSION)
integrate from a to b- the square root of 1+ (dy/dx)^2
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TOTAL DISTANCE DERIVATIVE GRAPHS
integrate from a to b- the absolute value of velocity
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FINAL POSITION DERIVATIVE GRAPHS
starting point + integral from a to b of v(t)
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SPEED OF A DERIVATIVE GRAPH
absolute value of v(t)