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The function f(x) = log x
  • a)
    Has a local maximum but no local minimum value
  • b)
    Has both ,a local minimum and a local maximum value
  • c)
    Has neither a local minimum nor a local maximum value
  • d)
    Has a local minimum but no local maximum value
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The function f(x) = log xa)Has a local maximum but no local minimum va...
The domain is (0,∞).
Logarithm of zero is not defined. Any number raised to any power can’t be zero.
Logarithm of negative numbers is also not defined. The natural logarithm function ln(x) is defined only for x>0. The complex logarithmic function Log(z) is defined for negative values.
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Most Upvoted Answer
The function f(x) = log xa)Has a local maximum but no local minimum va...
f(x) = log x
f’(x) = 1/x
Putting f’(x) = 0
1/x = 0
x = ∞ (this is not defined for x)
So, f(x) does not have minima or maxima
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The function f(x) = log xa)Has a local maximum but no local minimum valueb)Has both ,a local minimum and a local maximum valuec)Has neither a local minimum nor a local maximum valued)Has a local minimum but no local maximum valueCorrect answer is option 'C'. Can you explain this answer?
Question Description
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