If m and M are the minimum and the maximum values of 4 + ${1 \over 2}$ sin2 2x $-$ 2cos4 x, x $ \in $ R, then M $-$ m is equal to :

Question

If m and M are the minimum and the maximum values of

4 + ${1 \over 2}$ sin² 2x $-$ 2cos⁴ x, x $ \in $ R, then M $-$ m is equal to :

${{15} \over 4}$

${{9} \over 4}$

${{7} \over 4}$

${{1} \over 4}$

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