Morrison Turnbull
10/15/2023 · Senior High School
1. Given the equation of a curve is: Diberi persamaan suatu lengkung ialah: \[ y=x^{2}(3-x)+\frac{1}{2} \] a) Find the gradient function of the curve. Cari fungsi kecerunan bagi lengkung itu. b) Find the coordinates of the turning point. Cari koordinat titik - titk pusingan. c) Hence, determine whether each of the turning point is maximum or minimum. Soterusnyo, tentukan samada titik pusingan itu adalah maksimum atou minimum.
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The gradient function is \(\frac{dy}{dx} = 6x - 3x^2\). The turning points are \((0, \frac{1}{2})\) and \((2, 4.5)\). The point \((0, \frac{1}{2})\) is a minimum, and the point \((2, 4.5)\) is a maximum.
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