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11 A curve has equation y = x² - 6x² + 16. (a) Find the coordinates of the two turning points. 3x² or 12x 3x²-12x dy/dx=0 20 x=0 andx=t (0,16) and (4, -16) 16 ..) and (.... (b) Determine whether each of the turning points is a maximum or a minimum. Give reasons for your answers. (0,16) maximum (4, -16) minimum, 4 -16 ...) [6] [3]

20 11 A curve has equation $y=x_{3}−6x_{2}+16$. (a) Find the coordinates of the two turning points. $3x_{2}or12x3x_{2}−12xdy(dx=0x=0andx=1(0,16)and(4,−16) $

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