Derivatives > derivative of e^{ikx}
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ddx (eikx)=−sin(kx)k+icos(kx)k
 
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ddx (eikx)=−sin(kx)k+icos(kx)k
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    • ddx (eikx)
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    Simplify eikx:    cos(kx)+isin(kx)
    =ddx (cos(kx)+isin(kx))
  • Apply the Sum/Difference Rule:    (f±g)′=f ′±g′
    =ddx (cos(kx))+ddx (isin(kx))
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    ddx (cos(kx))=−sin(kx)k
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    ddx (isin(kx))=icos(kx)k
    =−sin(kx)k+icos(kx)k

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