JEE MATHEMATICS MCQ: INCREASING & DECREASING

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Analyzing +4 | -1

The function

f(x)=\sin ^4 x+\cos ^4 x

increases if

View answer and explanation

Correct option: B

\frac{\pi}{4} < x< \frac{3 \pi}{8}

Option B is correct because the function's derivative is positive in the interval (π/4, 3π/8), indicating an increasing function.

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\left( { - \infty ,\;\infty } \right)