Explain what is happening graphically between x = 6 and x = 8 if f'(6) = 2 and f'(8) = -3

Explain what is happening graphically  between x = 6 and x = 8 if f'(6) = 2 and f'(8) = -3
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At f(6) the gradient is positive so f is increasing; at f(8) the gradient is decreasing; therefore, assuming continuity, there must be a maximum between x=6 and 8 (concave down).

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