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Q: How to determine the slope of the tangent to the curve?
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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 do you find the slope of a graph if it is a curve?

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


Is a tangent a trigonometric ratio?

Tangent is used in calculus to compute the slope of a curve. Because curves do not have uniform slopes, unlike lines, their slopes change. A tangent is the slope of a curve at a specific 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.


How do you find the slope of the tangent line to each curve at the given point?

By differentiating the answer and plugging in the x value along the curve, you are finding the exact slope of the curve at that point. In effect, this would be the slope of the tangent line, as a tangent line only intersects another at one point. To find the equation of a tangent line to a curve, use the point slope form (y-y1)=m(x-x1), m being the slope. Use the differential to find the slope and use the point on the curve to plug in for (x1, y1).


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


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 negaitve slope?

You're familiar with the xy-plane. A line with negative slope is one that goes down toward the right. A curve has a negative slope at a point if the tangent line to the curve at that point has a negative slope.


How do you determine a slope from a graph?

Slope = (vertical change)/(horizontal change), commonly referred to as rise/run. If the graph is a straight line, then you can count squares or measure how much change in vertical, over a specified change in horizontal. If it is a curve, then you need to have a tangent line (a line that touches the curve at a specific point and has the same slope as the line), then you can determine the slope of that line using the method described, above.


What best explains how a plot of concentration vs time for a reactant of a chemical reaction can be used to determine the instantaneous rate of a reaction at time equals 10 s?

1) Find time = 10 s on the curve. 2) Draw a line tangent to the point time = 10 s on the curve. 3) Use two points on the tangent line to find the slope of the line. 4) The slope of the line is the instantaneous rate in M/s.


Short-lived velocity defined as the slope of the tangent line at a given point on a curve?

instantaneous


What does the slope of a tangent to the curve of a velocity-time graph measure?

the slope of a tangent to the curve of a V vs T graph is acceleration at that point in time. the derivative of the function for the V vs T graph would be the function for acceleration at any given time