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Let f(x)={:{(|x-2|+a^(2)-9a-9","ifxlt2),...

Let `f(x)={:{(|x-2|+a^(2)-9a-9","ifxlt2),(2x-3"," if xge2):}`
Then, find the value of 'a' for which f(x) has local minimum at x=2

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ARIHANT MATHS-MONOTONICITY MAXIMA AND MINIMA-Exercise (Questions Asked In Previous 13 Years Exam)
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  14. If f(x)=x^(2)+2bx+2c^(2)and g(x)=-x^(2)-2cx+b^(2), such that minf(x)gt...

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  20. Consider the function f:(-oo, oo) -> (-oo ,oo) defined by f(x) =(x^2...

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  21. Consider the function f:(-oo, oo) -> (-oo ,oo) defined by f(x) =(x^2...

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