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Question in Bill's workspace by Bill Foster

$I$ compact interval, $g:I\rightarrow I$ , $g(x)=(x-a)(x-b)^2$ . Stationary points in interval. Find local and global maxima and minima of $g$ on $I$ .
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Question in Bill's workspace by Bill Foster

$I$ compact interval. $\displaystyle g: I \rightarrow I, g(x)=\frac{ax}{x^2+b^2}$ . Find stationary points and local maxima, minima. Using limits, has $g$ a global max, min?
Max and Min (6 parts) 24/11
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Question in Katie's workspace by Katie Dexter

$I$ compact interval, $g:I\rightarrow I$ , $g(x)=(x-a)(x-b)^2$ . Stationary points in interval. Find local and global maxima and minima of $g$ on $I$ .