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What is a derivative graph?
A derivative graph tracks the slope of a function.
How do you find the equation of a tangent line to the graph of fx equals x cubed and x equals -2?
Calculate the derivative of the function.Use the derivative to calculate the slope at the specified point.Calculate the y-coordinate for the point.Use the formula for a line that has a specified slope and passes through a specified point.
Is the first derivative of a function is a constant then its graph is?
A line. The derivative of a function is its slope. If the slope is a constant then the graph is a line.
What is the steepness on a line graph called?
The steepness of a line graph is called the "gradient" ------------------------------- or slope.
What physical property does the slope of a velocity time graph represent?
velocity.
How do you calculate slope on a position time graph?
Calculate slope as slope=(y2-y1)/(t2-t1).
What can you calculate from velocity time graph?
From a velocity-time graph, you can calculate the acceleration by finding the slope of the graph at a certain point. The area under the graph represents the displacement of the object. You can also determine the direction of motion based on the slope of the graph (positive slope indicates motion in one direction, negative slope indicates motion in the opposite direction).
How do you calculate speed of a distance time graph?
Speed (in the radial direction) = slope of the graph.
How do you calculate velocity from an x-t graph?
If an x-t graph is a position-time graph, velocity is the slope of the line on the graph.
Can you calculate speed from a motion graph?
If you graph distance vs. time, the slope of the line will be the average speed.
How can you calculate a slope of graph?
Points: (x, y) and (x, y) Slope: y1-y2/x1-x2
Why area below the distance-time graph is used to calculate speed?
That's not correct. If you have a graph of distance as a function of time, the speed is the slope of the graph.
How do you calculate slope of lines on a graph?
You can use the formula: y=mx+b (berdill)
How do you find resistance by a graph?
To find resistance from a graph of voltage vs. current, you can calculate the slope of the graph. Resistance is equal to the slope, so you can divide the voltage by the current to determine the resistance. The unit of resistance is ohms (Ω).
How do you determine the speed of an object by looking at a graph?
To determine the speed of an object from a graph, you can calculate the average speed by finding the slope of the line connecting two points on the graph. The steeper the slope, the higher the speed. Alternatively, you can also find the instantaneous speed by looking at the slope of the tangent line at a specific point on the graph.
How can one calculate opportunity cost from a graph?
To calculate opportunity cost from a graph, you can determine the slope of the graph, which represents the trade-off between two choices. The opportunity cost is the value of the next best alternative that is forgone when a decision is made. By analyzing the slope of the graph, you can identify the opportunity cost of choosing one option over another.
Which method is used to calculate the slope on a distanced-time graph?
Slope = change in y (distance) / change in x (time). If the graph is not a straight line then either apply the above formula to the tangent at the point of interest or differentiate the equation of the graph.
