SimReal: Differentiation | ![]() |
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Differentiation This application visualizes the derivative of a function. Mark the checkbox 'Secant' to draw the secant through the points A and B Use the scrollbar number two at the bottom of the simulation window to move the point B closer and closer to point A. Look how Δy/Δx comes closer and closer to the value of y' Mark the checkbox 'Line' to see deltaX and deltaY v Mark the checboxes 'Graph Derivative' and 'LineH' to study the graph of the derivative function in more detail. Control objects : Theory : Video Lesson SimV : Video Simulation (explanation how to use the interactive simulation) Sim : Interactice Simulation App : Practical applications Scrollbar 1 : Move the point A on the graph Scrollbar 2 : Move the point B on the graph Function : The mathematical expression of the function x1 : Left endpoint A x2 : Right endpoint B y' : The derivate of the function y = f(x) at A deltaV/deltaY : The slope of the secant through A and B Graph : Show the graph of the function Graph Derivative : Show the graph of the derivate of the function y = f(x) Axis : Show axis Grid : Show grid Point : Show the end points A and B Tangent : Show the line segments Secant : Show the line segments Δy/Δx : Show the lines Δy and Δx LineH : Show help lines to visualize differentiation Formula : Show the formula for derivate of the function y = f(x) Reset : Set the number of line segments to zero |