- #1
ChiralSuperfields
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ChiralSuperfields said:Dose
I don't think you are correct. Why did you change the graph of f with the red dotted lines that are close to vertical?ChiralSuperfields said:Does someone please know whether I am correct?
Thank you for your reply @Mark44!Mark44 said:I don't think you are correct. Why did you change the graph of f with the red dotted lines that are close to vertical?
In your altered graph of f', the parts you added look way too steep to me.
Yes, pretty much. You could confirm that their graph of f' looks reasonable by tracing the graph of f on some graph paper, and then using a straight-edge at a number of points on the graph to estimate the derivative, and then plotting each of these estimates.ChiralSuperfields said:Do you please agree with the solutions then?
ChiralSuperfields said:Homework Statement: Please see below
Relevant Equations: Please see below
For this Problem 5,
View attachment 325718
The solution is,
View attachment 325719
However, I though the graph of f' would have end behavior more like,
View attachment 325720
Does someone please know whether I am correct?
Many thanks!
Furthermore in 5. (to explain why you are incorrect)TonyStewart said:f looks more like 4th order equation and f' looks like a 3rd order equation by counting the inflection points.
Your dotted line adds to more orders to change the direction of the asymptote of the derivative.
4. is a negative cosine function so that f' is easy to find.
A "Graph of f' using graphical methods" refers to a visual representation of the derivative of a function f. It shows the rate of change of the function at different points on the graph.
The "Graph of f' using graphical methods" is different from the graph of the original function because it shows the slope of the function at each point, rather than the actual value of the function itself. It is a way to analyze the behavior of the function and understand its rate of change.
Each point on the "Graph of f' using graphical methods" represents the slope of the function at that specific point on the graph. The steeper the slope, the greater the rate of change of the function at that point.
The critical points of a function can be found by looking at the "Graph of f' using graphical methods" and identifying the points where the slope of the function is equal to zero. These points represent the maximum or minimum values of the function.
While graphical methods can provide a visual understanding of the derivative of a function, they may not always be accurate or precise. In some cases, it may be necessary to use analytical methods to find the exact derivative of a function.