IB Maths AA HL Sl 5 8 Extrema Optimization and Inflexion Topic Practice

Question 1

[Maximum number: 2]

The following question explores features of a family of curves. The family is then linked to a homogeneous differential equation.
Consider the curve given by y=x(x216)x2+16y=\frac{x\left(x^{2}-16\right)}{x^{2}+16}.

State the coordinates of the local maximum point and the coordinates of the local minimum point.

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