Substituting the plane wave solution into the wave equation

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janemba
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what do you have to do to solve this

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And what rule do you use to do that
 
You use, like, (d/dx)e^(f(x))=(d/dx)(f(x))*e^(f(x)). The ordinary rules of differentiation. Just tell us what you get. The exponentials should cancel on both sides leaving you with an algebraic relation between omega and k.
 
is there like a video that teach you the rules of ordinary rules of differentiation ?