5 Questions
What is the derivative of the function ( f(x) = y ) in terms of the rate of change on the x-axis?
The derivative of the function ( f(x) = y ) is the rate of change on the y-axis when the rate of change on the x-axis is infinitely small.
What is the formula to calculate the distance between two points on a graph?
The formula to calculate the distance between two points on a graph is ( D = \frac{y_2 - y_1}{x_2 - x_1} ) or alternatively ( D = \frac{f(b) - f(a)}{b - a} ) where D is the distance between the initial and final positions.
In the context of the given text, what does the variable ( D ) represent?
In the context of the given text, the variable ( D ) represents the distance between two points on a graph.
What is the equation to calculate the distance between two points on the graph shown in fig.(1)?
The equation to calculate the distance between two points on the graph shown in fig.(1) is ( D = \frac{f(b) - f(a)}{b - a} ) where ( f(x) ) represents the function and ( a ) and ( b ) represent the x-coordinates of the two points.
How can the distance between two points on a graph be expressed in terms of the difference between their y-axis?
The distance between two points on a graph can be expressed as the difference between their y-axis divided by the difference between their x-axis.
Test your knowledge on integration with this comprehensive guide. This quiz covers the basics, including the relationship between input and output on a graph, rate of change, and more. Perfect for those looking to strengthen their understanding of integration.
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