The decreasing part of the curve has negative gradient, i.e for x = (-1.67, 1.67).
Given that,
C is the curve with the equation [tex]y=x^3-2x^2-15x+5[/tex],
the domain for the negative gradient to g=be determined.
The slope is defined as the gradient of y relative to the x and also the tangent angle made by the line with horizontal. i.e. m =tanx where x in degrees.
Here, Curve c with [tex]y=x^3-2x^2-15x+5[/tex] is plotted on the graph, when the curve has a negative gradient it implies that the curve is a decreasing curve so from this we can conclude that through the bof x = (-1.67, 1.67) the curve is decreasing.
Thus, the decreasing part of the curve has negative gradient, i.e for x = (-1.67, 1.67).
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