Turunan pertama dari :+Cara

By Posted on

Turunan pertama dari :+Cara

~DiferensiaL

y = (3x  - 2)⁵ (2x + 1)

Misal :

u → (3x  - 2)⁵

u' → 15(3x – 2)⁴

v → 2x + 1

v' → 2

y' = u'v + uv'

y' = [15(3x – 2)⁴][2x + 1] + [(3x  - 2)⁵][2]

y' = 30x(3x – 2)⁴ + 15(3x – 2)⁴ + 2(3x – 2)⁵

y' = 2(3x – 2)⁴(15x + (3x – 2)) + 15(3x – 2)⁴

y' = (3x – 2)⁴ [36x + 11]

#Math

frac{dy}{dx} = 5 {(3x - 2)}^{4} times 3 times (2x + 1) + 2 times {(3x - 2)}^{5} \ = 15 times {(3x - 2)}^{4} times (2x + 1) + 2 times {(3x - 2)}^{5} \ = {(3x - 2)}^{4} (30x + 15 + 6x - 4) \ = {(3x - 2)}^{4} (36x + 11)