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Mathematics 19 Online
OpenStudy (anonymous):

how do you find the original graph given this derivative graph?

OpenStudy (anonymous):

|dw:1319243622101:dw|

OpenStudy (anonymous):

the derivative tells you the slope of the tangent line. in this case the derivative is 3 constants. so your original function consists of 3 lines. one with positive slope, one with 0 slope ( a horizontal line) and one with negative slope. you cannot know exactly where the function is, only what the slopes are

OpenStudy (anonymous):

so it could look like this |dw:1319244020462:dw|

OpenStudy (anonymous):

but it need not be continuous. it could also look like |dw:1319244069706:dw|

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