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Separate the interval  open square brackets 0 comma straight pi over 2 close square brackets into sub-intervals in which f (x) = sin4 x + cos4 x is increasing or decreasing
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Separate the intervalopen square brackets 0 comma straight pi over 2 c...
f’(x) = 4sin3x cosx - 4cos3x sinx
= - sin4x
As x is in the interval [0, ∏/2] hence 4x is in the interval [0, 2∏]
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Most Upvoted Answer
Separate the intervalopen square brackets 0 comma straight pi over 2 c...
f’(x) = 4sin3x cosx - 4cos3x sinx
= - sin4x
As x is in the interval [0, ∏/2] hence 4x is in the interval [0, 2∏]
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Community Answer
Separate the intervalopen square brackets 0 comma straight pi over 2 c...
I think that the correct option might be B only.This is because the function of given interval is negative on substitution so it is decreasing while the other interval on substitution it is increasing.
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Separate the intervalopen square brackets 0 comma straight pi over 2 close square brackets into sub-intervals in which f (x) = sin4 x + cos4 x is increasing or decreasinga)b)c)d)Correct answer is option 'B'. Can you explain this answer?
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