sketching graphs using derivatives (1 Viewer)

Trebla

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You would have previously learnt how to do stuff like addition/multiplication of ordinates to sketch graphs.
 

tito981

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for the composite functions, you can consider points which are known either to be intercepts of have gradients of zero through asymptotic behaviors and just sub in those y values to find certain points. From there you can predict a rough shape more easily.

for the curves with multiple functions added/subtracted, you can consider: the domains of the functions present, known intercepts and known asymptotic behaviors.
 

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