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Continuity and differentiability

G(x) =ksqrt(x+1) if 0<=x<=3
mx+2 if 3<x<=5

Find the values of k and m so that g'(3) exists.

Solution Preview

first, for continuity of g(x) at x = 3, we should have g(3+)=g(3-)
and for ...

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This solution is comprised of a detailed explanation to find the values of k and m so that g'(3) exists.

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