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Geisongb1996
@Geisongb1996
December 2019
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Calcule a derivada da função:
f(x) = ln (sen x)
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Diogolov
F(x)=ln(senx)
d/dx (ln(senx))=
d(ln(u))/du du/dx
u=sen(x) e d/du * (ln(u)) = 1/u
cosec(x)*(d/dx * (sen(x))=
A derivada de seno é cosseno, então:
cos(x)*cosec(x)=
cot(x)
4 votes
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d/dx (ln(senx))=
d(ln(u))/du du/dx
u=sen(x) e d/du * (ln(u)) = 1/u
cosec(x)*(d/dx * (sen(x))=
A derivada de seno é cosseno, então:
cos(x)*cosec(x)=
cot(x)