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प्रश्न
For \[f(x)=3x^4+4x^3-12x^2+12\], what conclusion follows at \[x=-2\]?
विकल्प
Local minimum value \[=-20\] at \[x=-2\]
Local maximum value \[=-20\] at \[x=-2\]
point of inflection at \[x=-2\]
Local minimum value \[=7\] at \[x=-2\]
MCQ
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उत्तर
Since \[f''(-2)=72>0\], \[x=-2\] is a point of local minimum. Evaluating the function gives \[f(-2)=48-32-48+12=-20\].
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