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# At what numbers is the following function $g$ differentiable?$g(x) = \left\{ \begin{array}{ll} 2x & \mbox{if}x \le 0\\ 2x - x^2 & \mbox{if}0 < x < 2\\ 2 - x & \mbox{if}x \ge 2 \end{array} \right.$Give a formula for $g'$ and sketch the graphs of $g$ and $g'.$

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Derivatives

Differentiation

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### Video Transcript

What is the differential? Po is the only possible points. You will not be different that those those Hungary points So we just have the chill. If there a derivative match, send those Hungary point. Let's take the directive which should be straight, very straight for this one should be Mind us who want so hear what actually was zero this wise to this wise too? So at this point on thes thesis to match match at actually hose hero And this whore you probably actually goes to you never give two and never once so they they do not match at That's the most shoot So the only point not differential boys actually was too. So she's different Doble Oh ex except exit host too And now deeps Ah graphing part of you

Derivatives

Differentiation

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