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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.

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13y ago

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The derivative finds the of a curve?

The gradient of the tangents to the curve.


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What is the slope of a curve?

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


What can a velocity-time curve be used to calculate?

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How to calculate the radius of curvature for a given curve?

To calculate the radius of curvature for a given curve, you can use the formula: ( R frac1 (dy/dx)23/2d2y/dx2 ), where ( dy/dx ) represents the slope of the curve and ( d2y/dx2 ) represents the second derivative of the curve. This formula helps determine how sharply the curve is bending at a specific point.


How do you find the slope of an Indifference curve?

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

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How can one determine the equivalence point on a titration curve in Excel?

To determine the equivalence point on a titration curve in Excel, you can identify the point where the slope of the curve is steepest. This is where the concentration of the titrant is equal to the concentration of the analyte being titrated. You can use Excel to plot the titration data and calculate the derivative of the curve to find the point of maximum slope, which corresponds to the equivalence 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.