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If f(x)={(sin(x^(2)-3x),xle0 .^x+5x^(2),xgt0 |
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Answer» f(x) has a LOCAL minima `f(x)^(+))rarr(0^(+))` `f(0^(+))=underset(xrarr0)lim sin (x^(2)-3x)=underset(hrarr0)limsin (H^(2)+3h)rarr0^(+)` Thus `f(x^(+)) and f(0^(-))gtf(x)` Hence x =0 is point of manima |
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