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प्रश्न
For \[f(x)=3x^4+4x^3-12x^2+12\], what conclusion follows at \[x=0\]?
विकल्प
Local minimum value \[=12\] at \[x=0\]
Local maximum value \[=12\] at \[x=0\]
Local minimum value \[=7\] at \[x=0\]
point of inflection at \[x=0\]
MCQ
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उत्तर
Here \[f''(0)=-24<0\], so \[x=0\] is a point of local maximum. Also, \[f(0)=12\], giving local maximum value \[12\].
shaalaa.com
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