Kako najdem derivat ln (ln (2x))?

Kako najdem derivat ln (ln (2x))?
Anonim

Odgovor:

# dy / dx = 1 / (xln (2x)) #

Pojasnilo:

# y = ln (ln (2x)) #

# dy / dx = d / dx ln (ln (2x)) #

# dy / dx = (d / dx ln (2x)) / ln (2x) #

# dy / dx = (((d / dx 2x) / (2x)) / ln (2x) #

# dy / dx = ((2 / (2x))) / ln (2x) #

# dy / dx = ((1 / x)) / ln (2x) #

# dy / dx = 1 / (xln (2x)) #