Question
A function f such that f(a)=f′′(a)=......f2n(a)=0 and f has a local maximum value b at x = a, if f (x) is
Answer: Option C
:
C
For local maximum or local minimum odd derivative must be equal to zero.
For local maxima, even derivative must be negative.
Since maximum value at x = a is b.
∴f(x)=b−(x−a)2n+2(∵f2n+2(a)=−ve)
Hence (c) is the correct answer.
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:
C
For local maximum or local minimum odd derivative must be equal to zero.
For local maxima, even derivative must be negative.
Since maximum value at x = a is b.
∴f(x)=b−(x−a)2n+2(∵f2n+2(a)=−ve)
Hence (c) is the correct answer.
Was this answer helpful ?
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