the maximum value of 5+20x-4x²
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To find stationary points, differentiate and set the differential to zero.
In this case, y=5+20x−4x2. When we differentiating, terms without an x ‘disappear’ and terms with an xn ‘change’ to nxn−1
Therefore, dydx=20−8x.
Setting this equal to zero, 20−8x=0
8x=20
x=208=52.
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