Question

Tentukan!
Turunan (x + 2)(3x - 1)
Turunan (2x + 1)/(x + 2)​

Answer 1

Verified answer

Penjelasan dengan langkah-langkah:

a. y = (x + 2)(3x - 1)

u(x) = x + 2

u'(x) = 1

v(x) = 3x - 1

v'(x) = 3

y' = u'(x) . v(x) + v'(x) . u(x)

y' = 1(3x - 1) + 3(x + 2)

y' = 3x - 1 + 3x + 6

y' = 6x + 5

b. (2x + 1)/(x + 2)

u(x) = 2x + 1

u'(x) = 2

v(x) = x + 2

v'(x) = 1

y' = u'(x) . v(x) - v'(x) . u(x)/v(x)²

y' = 2(x + 2) - 1(2x + 1)/(x + 2)²

y' = (2x + 4 - 2x - 1)/(x + 2)²

y' = 3/(x + 2)²