Calculus tangent line help

asdg2345

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Jun 17, 2013
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Hello, I need help with a math homework problem.
Question:
Explain what is happening graphically to the function,f, between x=6 and x=8 if f'(6)=2 and f'(8)=-3

Thanks
 
Hints

If we were told that f'(7.5) = -2.5 (for example), then we would know that the slope of the graph of function f is negative 2.5, at the location on the curve where the x-coordinate is 7.5.

This tells us that the graph of function f is going "downhill", in the vicinity of x=7.5.

It's not given, but I assume that function f is well-behaved (i.e., its graph is smooth and continuous).

What do the two given derivatives tell you about the behavior at x=6 and x=8?
 
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