Network
f(x) = 4x3 - 3x2 + 8x - 5
f'(x) = 4.3x(3-1) - 3.2x(2-1) + 8 - 0
f'(x) = 12x2 -6x + 8
f"(x) = 12.2x(2-1) - 6 + 0
f"(x) = 24x - 6
Carilah turunan pertama f'(x) dari fungsi-fungsi dibawah ini :
a. f(x) = 3x1/2
b. f(x) = 6x3/2
Pembahasan
a. f(x) = 3x1/2
⇔ f'(x) = 1/2 . 3x(1/2 - 1)
⇔ f'(x) = 3/2. x-1/2
b. f(x) = 6x3/2
⇔ f'(x) = 3/2. 6x(3/2 - 1)
⇔ f'(x) = 9x1/2
4. Diketahui y = 3(2x – 1)(5x + 2), nilai dy/dx adalah...
a. 3(10x – 2)
b. 3(20x – 1)
c. 3(10x – 1)
