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Calculus › Continuity › Continuity of piecewise functions

Making a piecewise function differentiable at a join

High school · ●●○○○ 20 pts

Let f(x)=ax+bf(x)=ax+b for x≤2x\le 2 and f(x)=2−x2f(x)=2-x^2 for x>2x>2. Find aa and bb so that ff is differentiable at x=2x=2.

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differentiabilitypiecewise functions