What is the slope of the parabola #y= -1/3x^2 +23x/3 -85/3# at the point (7,9)?

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Answer 1 · 2015-06-01T23:48:55

The derivative is #y'=-2/3 x+23/3#. Therefore the slope of the graph of the function at #x=7# is #y'(7)=-2/3\cdot 7+23/3=-14/3+23/3=9/3=3#.