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Directions: The following question has four choices, out of which ONE or MORE is/are correct.
If and , then
  • a)
    g(x) has local maxima at x = 1 + loge 2 and local minima at x = e
  • b)
    f(x) has local maxima at x = 1 and local minima at x = 2
  • c)
    g(x) has no local minima
  • d)
    f(x) has no local maxima
Correct answer is option 'A,B'. Can you explain this answer?
Most Upvoted Answer
Directions: The following question has four choices, out of which ONE...
Now, it is obvious from the graph that f(x) has local maxima at x = 1 and local minima at x = 2.
g'(x) = f(x) = 0
i.e. ex = 0, which is not possible.
Therefore, 2 - ex-1 = 0
⇒ ex - 1 = 2
⇒ x - 1 = In 2
⇒ x = 1 + In 2
x - e = 0
⇒ x = e
g(x) has local maxima at x = 1 + In 2
g(x) has local minima at x = e
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Directions: The following question has four choices, out of which ONE or MORE is/are correct.If and , thena)g(x) has local maxima at x = 1 + loge 2 and local minima at x = eb)f(x) has local maxima at x = 1 and local minima at x = 2c)g(x) has no local minimad)f(x) has no local maximaCorrect answer is option 'A,B'. Can you explain this answer?
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Directions: The following question has four choices, out of which ONE or MORE is/are correct.If and , thena)g(x) has local maxima at x = 1 + loge 2 and local minima at x = eb)f(x) has local maxima at x = 1 and local minima at x = 2c)g(x) has no local minimad)f(x) has no local maximaCorrect answer is option 'A,B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Directions: The following question has four choices, out of which ONE or MORE is/are correct.If and , thena)g(x) has local maxima at x = 1 + loge 2 and local minima at x = eb)f(x) has local maxima at x = 1 and local minima at x = 2c)g(x) has no local minimad)f(x) has no local maximaCorrect answer is option 'A,B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: The following question has four choices, out of which ONE or MORE is/are correct.If and , thena)g(x) has local maxima at x = 1 + loge 2 and local minima at x = eb)f(x) has local maxima at x = 1 and local minima at x = 2c)g(x) has no local minimad)f(x) has no local maximaCorrect answer is option 'A,B'. Can you explain this answer?.
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