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What is the slope of a curve?

Updated: 8/23/2023
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15y ago

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Slope of a Curve A number which is used to indicate the steepness of a curve at a particular point.The slope of a curve at a point is defined to be the slope of the tangent line. Thus the slope of a curve at a point is found using the derivative

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15y ago
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14y ago

You can easily determine the slope of a line by calculating Rise divided by Run, where rise is the change in the y coordinate and run is the change in the x coordinate. You can't get the slope of a curve per se; you can find the instantaneous slope for any given point along the curve, but that is more complicated.

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Q: What is the slope of a curve?
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The derivative finds the of a curve?

The gradient of the tangents to the curve.


What determines the slope of IS Curve?

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You find the slope of the tangent to the curve at the point of interest.


How do you calculate slope of a curve?

If the curve is on the xy-plane, finding an expression for dy/dx will give you the slope of a curve at a point.


How do you find the slope of an Indifference curve?

You find the tangent to the curve at the point of interest and then find the slope of the tangent.


How the slope of a curved line at a point can be found?

The slope of a curved line at a point is the slope of the tangent to the curve at that point. If you know the equation of the curve and the curve is well behaved, you can find the derivative of the equation of the curve. The value of the derivative, at the point in question, is the slope of the curved line at that point.


What is the slope of a curve line?

The slope of a curved line changes as you go along the curve and so you may have a different slope at each point. Any any particular point, the slope of the curve is the slope of the straight line which is tangent to the curve at that point. If you know differential calculus, the slope of a curved line at a point is the value of the first derivative of the equation of the curve at that point. (Actually, even if you don't know differential calculus, the slope is still the value of the function's first derivative at that point.)


As a curve approaches a maximum point the slope will do what?

The slope of the tangent line at the maximum point of the curve is zero. So we say that as a curve point approaches to the maximum point, the slope of the tangent line at that point approaches to zero.


Why does Investment Savings Curve slope downward?

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The slope of a curve is not constant?

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What does the slope of the curve on a distance v time graph represent?

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