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Created by T Madas Question 22 A curve has equation y = x5 − 15 x − 80 x + 16 , x∈» , x ≥ Find the coordinates of the stationary point of the curve and determine whether it is a local maximum, a local minimum or a point of inflexion local minimum at (16, −2800 ) Created by T Madas Created by T Madas Question 23 A curve has equation y = x2 − x x +2, x∈» , x ≥ Find the coordinates of the stationary points of the curve and classify them as local maxima, local minima or a points of inflexion local minimum at ( 8, −30 ) , local maximum at ( 0, ) Created by T Madas Created by T Madas Question 24 A curve has equation ( ) y = x x − 128 x , x∈» , x>0 ( ) The curve has a single stationary point with coordinates 2α , − 2β , where α and β are positive integers Find the value of β and justify that the stationary point is a local minimum β = 12 Created by T Madas
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