Consider the piecewise defined function Find the values of a and b that make the following function continuous. g(x) x² + ax+4b -x²+3a if x > 2 if x < 2 Use the limit definition of the derivative to determine all possible values of a and b that make g into a differentiable function at x =2.

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A: Useful formula for derivative of function÷ If y=fxn then dydx=nfxn-1f'x

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