allhvasstH
2021-10-04
firmablogF
Skilled2021-10-05Added 92 answers
Given statement is 'Calculus studies change by analysing slopes of secant lines over succesively shorter intervals'
This sentence makes send because this is one of the topic of Calculus subject.
This is one of the calculus subject's topics, so this sentence makes sense.
To approximate the slope of the tangent line to the function graph at that particular point, find the secant line slopes over progressively shorter intervals.
The slope of secant line on interval is,
The slope tangent line can be approximates by the slope of secant line by making h smaller and smaller. That means to find the slopes of secant line successively over the shorter intervals for smaller values of h.
Therefore, the slope of tangent line m at point is
Find the local maximum and minimum values and saddle points of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function
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