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The figure shows the graphs of f, f' and...

The figure shows the graphs of f, f' and f''. Indentify each curve and explain your choices.

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Draw the line x = p meeting graph 'b' at its point of maxima, where the derivative is zero.
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Thus, graph 'c' is the graph of the derivative of 'b'.
Also, line x = q meets graph 'a' at its point of maxima, where the derivative is zero.
Thus, 'b' is the graph of the derivative of 'a'.
Thus, 'a', 'b', 'c' are the graphs of ` y = f(x), y = f'(x) and y = f''(x)`, respectively.
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