Tolong di bantu ya. Terimakasih

1.Materi : Deferensial atau turunan
Kelas : XI
a. y = 5/x^7 - √x + 4x² + 5x - 3
= y = 5(x)^-7 - x^1/2 + 4x^2 + 5x - 3
= y' = -35x^-8 - 2x^-1/2 + 8x + 5
= y' = -35/x^8 - 2/√x + 8x + 5

b. y = (2x-1)(3x+5)
= y' = (2)(3x+5) + (2x-1)(3)
= y' = 6x+10 + 6x-3
= y' = 12x + 7

c. y = (4x-1)/(5+2x)
= y' = (4)(5+2x) - (4x-1)(2) / (5+2x)²
= y' = 20+8x - (8x-2) / (5+2x)²
= y' = 20+8x -8x + 2 / (5+2x)²
= y' = 22 / (5+2x)²

d. y = (2x²-4x+1)^5
= y' = 5(2x²-4x+1)^4 . 4x-4
= y' = 20x-20(2x²-4x+1)^4


4. Materi : Limit Fungsi aljabar
Kelas : X dan XI
a. Lim x→1 (x²-1) / (x-1)
= gunakan dengan cara turunan
= Lim x→1 (2x) / (1)
= (2(1) / 1
= 2

b. Lim x→0 (x³ - 2x² - 4x) / (2x)
= Guanakan dengan cara turunan
= Lim x→0 (3x² - 4x - 4) / (2)
= (3(0)² - 4(0) - 4) / 2
= -4 / 2
= -2

c. Lim x→2 (x² - x - 2) / (x-2)
= Gunakan cara turunan
= Lim x→2 (2x - 1) / (1)
= 2(2)-1 / 1
= 3 / 1
= 3

d. Lim x→1 (x³ - 1) / (x - 1)
= Gunaakan cara turunan
= Lim x→1 (3x²) / (1)
= 3(1)² / 1
= 3


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