Discussion
If \( y = \sin x \), then \( y^{(4)} \) equals
Answer: B
The derivatives run in a cycle of four:
\[ \sin x \;\to\; \cos x \;\to\; -\sin x \;\to\; -\cos x \;\to\; \sin x. \]
So the fourth derivative returns the original function, and in general \( y^{(n)} = \sin(x + n\pi/2) \). Any derivative whose order is a multiple of four reproduces the function unchanged
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