The minimum value of \( f(x)=\sin ^{4} x+\cos ^{4} x, 0 \leq x \leq \frac{\pi}{2} \) is (A) \( \...

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The minimum value of \( f(x)=\sin ^{4} x+\cos ^{4} x, 0 \leq x \leq \frac{\pi}{2} \) is
(A) \( \frac{1}{2 \sqrt{2}} \)
(B) \( \frac{1}{4} \)
(C) \( -\frac{1}{2} \)
(D) \( \frac{1}{2} \)
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