Find the 50th derivative of y=cos2x
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let f(x) = y= cos2x
then f'(x)=-2sin2x
f''(x)=-2×2cos2x
f'''(x)=2×2×2sin2x
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f^50(x)=2^50cos2x
then f'(x)=-2sin2x
f''(x)=-2×2cos2x
f'''(x)=2×2×2sin2x
...........................
f^50(x)=2^50cos2x
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