Ano ang hinalaw ng function f (x) = ln (ln ((x + 4) / ln (x ^ 2 + 4)?

Ano ang hinalaw ng function f (x) = ln (ln ((x + 4) / ln (x ^ 2 + 4)?
Anonim

Sagot:

#f '(x) = (1 / (ln ((x + 4) / (ln (x ^ 2 + 4))))) ((1) / ((x + 4) ^ 2 + 4) (ln (x ^ 2 + 4)) - (2x ^ 2 + 4x)) / ((x ^ 2 + 4) (ln (x ^ 2 + 4)

Paliwanag:

#f '(x) = (1 / (ln ((x + 4) / (ln (x ^ 2 + 4))))) (1 / ((x + 4) / (ln (x ^ (X ^ 4) (1) / ((x ^ 2 + 4)) (2x)) / ((ln (x ^ 2 + 4))) ^ 2) #

#f '(x) = (1 / (ln ((x + 4) / (ln (x ^ 2 + 4))))) (ln (x ^ 2 + 4) / ((x + 4))). ((ln (x ^ 2 + 4) - (2x ^ 2 + 4x) / ((x ^ 2 + 4))) / ((ln (x ^ 2 + 4)

#f '(x) = (1 / (ln ((x + 4) / (ln (x ^ 2 + 4))))) (kanselahin (ln (x ^ 2 + 4) (x ^ 2 + 4) (ln (x ^ 2 + 4)) - (2x ^ 2 + 4x)) / ((x ^ 2 + 4) (ln (x ^ 2 + 4)) ^ cancel (2))) #

#f '(x) = (1 / (ln ((x + 4) / (ln (x ^ 2 + 4))))) ((1) / ((x + 4) ^ 2 + 4) (ln (x ^ 2 + 4)) - (2x ^ 2 + 4x)) / ((x ^ 2 + 4) (ln (x ^ 2 + 4)