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AP Calculus Curve Sketching

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7 cards

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Section 1

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Stationary Point

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Calculus Math

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Date created

Mar 1, 2020

Cards (7)

Section 1

(7 cards)

Stationary Point

Front

A point on the function where there is a horizontal tangent at the x-value

Back

Relative Minimum

Front

Occur when curve switches from decreasing to increasing. X value is WHERE the relative minimum occurs. the Y value is WHAT the minimum is

Back

Absolute Minimum or Maximum

Front

The highest (lowest) point on the curve. The x value is where the absolute maximum (minimum) occurs. The y value is what the absolute maximum (minimum) is. The absolute maximum or minimum must occur at relative extrema or at the endpoints of an interval

Back

inflection point

Front

The x value where the curve switches concavity. Inflection points can occur where the second derivative equals 0 or fails to exist

Back

relative maximum

Front

Occur where the curve switches from increasing to decreasing

Back

Relative extreme

Front

either a relative maximum or a relative minimum

Back

Critical Values (points)

Front

x- values on the function where the function has a slope equal to 0 or where the function is not differentiable. Visually, it is where there is a horizontal tangent line or a vertical tangent line

Back