Sketching f(x) from f’(x) and f’’(x)
We are only concerned with the x-values of the maximums and minimums. Without a function equation we cannot accurately plot the points, which is why these are just sketches.

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AP Calculus Connecting F, F’, and F’’

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How to sketch the graph of the derivative from the original function (6 examples)

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Connecting f, f', and f'' graphically | AP Calculus AB | Khan Academy

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