IndietroConcavity definitions
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Describes the way a graph curves, indicating whether it bends upward like a smile or downward like a frown. Second Derivative
Represents the rate of change of the slope, revealing how the slope itself increases or decreases. Concave Up
A graph shape resembling a smile, where tangent lines lie below the curve and the second derivative is positive. Concave Down
A graph shape resembling a frown, where tangent lines sit above the curve and the second derivative is negative. Inflection Point
A location where the graph changes from concave up to concave down or vice versa, with the second derivative zero or undefined. Tangent Line
A straight line touching a curve at one point, used to visualize slope and its changes on a graph. Slope
A measure of steepness at a point on a graph, determined by the first derivative. Sign Chart
A tool for organizing intervals and test values to determine where the second derivative is positive or negative. Interval
A continuous range of x-values used to describe where a function is concave up or down. Critical Point
A location where the first derivative is zero or undefined, often associated with local maxima or minima. Power Rule
A differentiation shortcut for finding derivatives of terms with exponents, essential for computing higher derivatives. Test Value
A chosen x-value within an interval, plugged into the second derivative to determine its sign. Ordered Pair
A set of x and y values representing a specific point on a graph, such as an inflection point. Rate of Change
A description of how a quantity varies with respect to another, with the second derivative showing changes in slope. Derivative
A function describing the instantaneous rate of change, with the first derivative for slope and the second for concavity.
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