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Q8Section I (General (compulsory))8 of 180

Matching value and slope at a piecewise junction

A function ff is defined on R by f(x)=x2f(x)=x^2 if x≤3x\le3, f(x)=ax+bf(x)=ax+b if x>3x>3. Then, for which values of aa and bb, f′(3)f'(3) exists?

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