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Find the local maxima and local minima, if any, of the following functions. Find also the local maximum and the local minimum values, as the case may be:(i) `f(x)=x^2` (ii) `g(x)=x^3-3x` (iii) `h(x)=sinx+cosx ,0ltxltpi 2` (iv) `f(x) = sin x - cos x , 0 lt x lt 2pi `(v)` f(x) = x^3-6x^2+9x+15`(vi) `g(x) = x/2 +2/x , x gt 0`(vii) g(x) = 1/x^2 +2 `(viii) `f(x) = x sqrt(1-x) , x gt 0`

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