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How do you find the 50th derivative of y=cos(x)y=cos(x) ?

Sagot :

[tex]y=cosx\\\\y'=-sinx\\\\y''=-cosx\\\\y'''=-(-sinx)=sinx\\\\y''''=cosx\to again\ this\ same...\\\\50:4=12+(R=2)\\\\50th\ derivate\ of\ y=cosx\ is\ equal\ y''=-cosx[/tex]