Q82.Let f(x) = sin4x + cos4x. Then, f is an increasing function in the interval: (1) ] 5π8 , 3π4 [ (2) ] π2 , 5π8 [ (3) ] π4 , π2 [ (4) ]0, π4 [
What This Question Tests
The problem tests the ability to find the derivative of a trigonometric function and use its sign to determine the intervals where the function is increasing.
Concepts Tested
Formulas Used
f'(x) > 0 for increasing function
sin²x + cos²x = 1
sin(2x) = 2sinxcosx
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📋 Question Details
- Chapter
- Applications of Derivatives
- Topic
- Increasing/Decreasing Functions
- Year
- 2016
- Shift
- 10 Apr Online
- Q Number
- Q82
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 6: Application of Derivatives
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