תשובה:
# x (+) x = (x) (x ^ 2 + 3)) ^ (- 1/2)) / (x ^ 2 + 3) x = / (x ^ 2 + 3) (ln (x (X ^ 2 + 3) sqrt (ln (x ^ 2 + 3))) #
הסבר:
אנו מקבלים:
# y = (ln (x ^ 2 + 3)) ^ (1/2) #
# (1 / 2-1) * d / dx ln (x ^ 2 + 3) # 1/2 * (ln (x ^ 2 + 3)
# l '(x ^ 2 + 3)) ^ (1/2) / 2 * d / dx ln (x ^ 2 + 3) #
# (d / dx x ^ 2 + 3) / (x ^ 2 + 3) # d / dx ln (x ^ 2 + 3)
# d / dx x ^ 2 + 3 = 2x #
# (x ^ 2 + 3) = (x (ln (x ^ 2 + 3)) ^ (= (X ^ 2 + 3)) (x ^ 2 + 3) = x / (x ^ 2 + 3) (ln (x ^ 2 + 3)) ^ (1/2)) = x / (x ^ 2 +3) sqrt (ln (x ^ 2 + 3))) #
