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1999

JEE Main 1999 Mathematics question on Application of Derivatives

The function f(x)=sin⁡4x+cos⁡4xf(x) = \sin^4 x + \cos^4 x increases, if
  1. A.
    0<x<π80 < x < \dfrac{\pi}{8}
  2. B.
    π4<x<3π8\dfrac{\pi}{4} < x < \dfrac{3\pi}{8}
  3. C.
    3π8<x<5π8\dfrac{3\pi}{8} < x < \dfrac{5\pi}{8}
  4. D.
    5π8<x<3π4\dfrac{5\pi}{8} < x < \dfrac{3\pi}{4}
Show answer

Correct option: C

[1999]

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