find maximum and minium value of the function Y=-5x square+16x+7

find maximum and minium value of the fuction Y=-5x square+16x+7
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1 Answer

y=5x^2+16x+7

y'=10x+16=0 at max or min. 10x=-16, x=-16/10=-8/5. This is a minimum point (the vertex of the parabola) at x=-8/5, y=-29/5 (-1.6, -5.8). There is no maximum because y increases as x increases/decreases to ±∞.

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