Hvordan deriverer man funksjonen f(x)=cos^(2)*x ?
Svaret skal bli -2cosx*sinx
Trigonometri
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[tex]f(x)=cos^2x[/tex], med substitusjonen u=cosxGjest wrote:Hvordan deriverer man funksjonen f(x)=cos^(2)*x ?
Svaret skal bli -2cosx*sinx
[tex]f'(u)=2u*u'[/tex]
[tex]f'(x)=2cosx*(cosx)'[/tex]
[tex]f'(x)=-2sinxcosx[/tex]
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