Care este derivatul funcției f (x) = ln (ln ((x + 4) / ln (x ^ 2 + 4)?

Răspuns:

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

Explicaţie:

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

(x + 4) / (ln (x + 4) / (ln (x ^ 2 + 4))))). ((ln (x ^ 2 + 4) - (2x ^ 2 + 4x) / ((x ^ 2 + 4))) / ((ln (x ^ 2 + 4))) ^ 2) #

(x + 4) / (ln (x + 4)))))) (anulați (ln (x ^ 2 + 4)))) (((x ^ 2 + 4) (ln (x ^ 2 + 4).) - (2x ^ 2 + 4x)) / ((x ^ 2 + 4) (ln (x ^ 2 + 4)) ^ anula (2))) #

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