Using limits and the basic gradient formula: rise/run.
A derivative graph tracks the slope of a function.
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.
A line. The derivative of a function is its slope. If the slope is a constant then the graph is a line.
The steepness of a line graph is called the "gradient" ------------------------------- or slope.
velocity.
Calculate slope as slope=(y2-y1)/(t2-t1).
Speed (in the radial direction) = slope of the graph.
If an x-t graph is a position-time graph, velocity is the slope of the line on the graph.
If you graph distance vs. time, the slope of the line will be the average speed.
Points: (x, y) and (x, y) Slope: y1-y2/x1-x2
That's not correct. If you have a graph of distance as a function of time, the speed is the slope of the graph.
You can use the formula: y=mx+b (berdill)
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.
The slope for a straight line graph is the ratio of the amount by which the graph goes up (the rise) for every unit that it goes to the right (the run). If the graph goes down, the slope is negative. For a curved graph, the gradient at any point is the slope of the tangent to the graph at that point.
acceleration
the slope at any point on the graph is the acceleration
The slope of a velocity-time graph represents acceleration.