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प्रश्न
For \[f(x)=3x^4+4x^3-12x^2+12\], what conclusion follows at \[x=1\]?
पर्याय
Local minimum value \[=-20\] at \[x=1\]
Local maximum value \[=12\] at \[x=1\]
Local minimum value \[=7\] at \[x=1\]
Local maximum value \[=7\] at \[x=1\]
MCQ
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उत्तर
Since \[f''(1)=36>0\], \[x=1\] is a point of local minimum. Substitution gives \[f(1)=3+4-12+12=7\].
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