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- Different types of mathematical curves include12:
- Upward Curve (Concave Upward or Convex Downward): A curve that turns in the upward direction.
- Downward Curve: A curve that turns in the downward direction.
- Supply and Demand Curves: An upward-sloping supply curve and a downward-sloping demand curve intersect at a single equilibrium price3.
- Concave Upward and Concave Downward: The derivative of a function determines whether it is concave upward or concave downward4.
Learn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.Here are the different types of mathematical curves: 1. Upward Curve: A curve that turns in the upward direction is called an upward curve. It is also known as a concave upward or convex downward curve. 2. Downward Curve: A curve that turns in the downward direction is called a downward curve since it is curved downward.www.splashlearn.com/math-vocabulary/geometry/c…A curve that points in the upward direction is called an upward curve. Downward Curve A curve that points downwards is called a downward curve.byjus.com/us/math/curve/With an upward-sloping supply curve and a downward-sloping demand curve, there is only a single price at which the two curves intersect. This means there is only one price at which equilibrium is achieved. It follows that at any price other than the equilibrium price, the market will not be in equilibrium.open.lib.umn.edu/principleseconomics/chapter/3-3 …The derivative of a function gives the slope. When the slope continually increases, the function is concave upward. When the slope continually decreases, the function is concave downward. Taking the second derivative actually tells us if the slope continually increases or decreases.www.mathsisfun.com/calculus/concave-up-down-c… - People also ask
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WEBThe derivative is f' (x) = 15x2 + 4x − 3 (using Power Rule) The second derivative is f'' (x) = 30x + 4 (using Power Rule) And 30x + 4 is negative up to x = −4/30 = −2/15, and positive from there onwards. So: f (x) is …
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WEBConcave upward. We can see that f ( x) concaves downward for the intervals, ( − 1, 0) and ( 0, 1). Meanwhile, the curve concaves upwards for the intervals, ( − ∞, − 1) and ( 1, ∞). Moving on to f ( x) ’s points of …
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WEBNov 16, 2022 · Fact. Given the function f (x) f ( x) then, If f ′′(x) > 0 f ″ ( x) > 0 for all x x in some interval I I then f (x) f ( x) is concave up on I I. If f ′′(x) < 0 f ″ ( x) < 0 for all x x in some interval I I then f (x) f ( x) is concave down …
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