Bantu dong... Turunan Fungsi Aljabar

^ tanda pangkat
akar pangkat 1/2
d. (1/2)x^-1/2 + 2x^1/2
turunannya
= (1/2)(-1/2) x^(-1/2-1) + 2(1/2) x^(1/2-1)
= -1/4 x^-3/2 + x^-1/2
= -1/4x^3/2 + 1/x^1/2
= -1/(4x√x) + 1/√x

e. 3x (x^1/3) - 1/x^1/3
3 x^(1+1/3) - x^-1/3
3x^(4/3) - x^-1/3
turunannya
3(4/3)x^(4/3-1) - (-1/3)x^(-1/3-1)
4x^1/3 + (1/3)x^(-4/3)
= 4(³√x) + 1/(3x^4/3)
= 4(³√x) + 1 / (3x ³√x)

f. (x² - 1/x²)(x² - 1/x²)
= x⁴ - 2 + 1/x⁴
= x⁴ + x^-4 - 2
= 4x³ - 4x^-5
= 4x³ - (4/x^5)