Math  /  Calculus

Question\begin{align*}
5. & \text{ Locate all points of inflection of } y = x(x-2)^{3} \\
6. & \text{ Locate all turning points on the curve } y = 3x^{4} - 4x^{3} - 12x^{2} - 2. \end{align*}

Studdy Solution
The inflection points of y=x(x2)3y = x(x-2)^3 are (1,1)(1, -1) and (2,0)(2, 0).
The turning points of y=3x44x312x22y = 3x^4 - 4x^3 - 12x^2 - 2 are (0,2)(0, -2), (2,34)(2, -34), and (1,7)(-1, -7).

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