Jawapan:
# (d y) / (d x) = 4/3 * x ^ (- 2/3) + 8/3 * x ^ (1/3) "(derivatif pertama)" #
# (d ^ 2 y) / (d t ^ 2) = 8/9 * x ^ (- 2/3) (- x ^ -1 + 1) "(derivatif kedua)" #
Penjelasan:
# y = 4x ^ (1/3) + 2x ^ (4/3) #
# (d y) / (d x) = 1/3 * 4 * x ^ ((1 / 3-1)) + 4/3 * 2x ^ ((4 / 3-1)
# (d y) / (d x) = 4/3 * x ^ (- 2/3) + 8/3 * x ^ (1/3) "(derivatif pertama)" #
(2/3 * 4/3 * x ^ ((- 2 / 3-1)) + 8/3 * 1/3 * x ^ ((1 / 3-1)) #
# (d ^ 2 y) / (d t ^ 2) = - 8/9 * x ^ ((- 5/3)) + 8/9 * x ^ ((- 2/3)
# (d ^ 2 y) / (d t ^ 2) = 8/9 * x ^ (- 2/3) (- x ^ -1 + 1) "(derivatif kedua)" #
