F(x)={{x}^{6}}\] and \[f(x)={{x}^{7}},\,\,f'(0)=f''(0)=f'''(0)\] \[={{f}^{iv}}(0)={{f}^{v}}(0)=0\]. \[x=0\] is point of MINIMA for \[f(x)={{x}^{6}}\]. But \[x=0\] is not point of maxima/minima for \[f(x)={{x}^{7}}\]. Hence, it is DIFFICULT to say anything.

"> F(x)={{x}^{6}}\] and \[f(x)={{x}^{7}},\,\,f'(0)=f''(0)=f'''(0)\] \[={{f}^{iv}}(0)={{f}^{v}}(0)=0\]. \[x=0\] is point of MINIMA for \[f(x)={{x}^{6}}\]. But \[x=0\] is not point of maxima/minima for \[f(x)={{x}^{7}}\]. Hence, it is DIFFICULT to say anything.

">
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Let \[f:[a,b]\to R\] be a function such that for \[c\in (a,b),f'(c)=f'(c)=f'''(c)={{f}^{iv}}(c)={{f}^{v}}(c)=0\]. Then

Joint Entrance Exam - Main (JEE Main) Mathematics in Joint Entrance Exam - Main (JEE Main) 11 months ago

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[d] For \[F(x)={{x}^{6}}\] and \[f(x)={{x}^{7}},\,\,f'(0)=f''(0)=f'''(0)\] \[={{f}^{iv}}(0)={{f}^{v}}(0)=0\]. \[x=0\] is point of MINIMA for \[f(x)={{x}^{6}}\]. But \[x=0\] is not point of maxima/minima for \[f(x)={{x}^{7}}\]. Hence, it is DIFFICULT to say anything.

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Posted on 09 Aug 2024, this text provides information on Joint Entrance Exam - Main (JEE Main) related to Mathematics in Joint Entrance Exam - Main (JEE Main). Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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