tentukan turunan pertama dari y=9x-7/4x-6

Y = 9x-7/4x-6
= 9x - 7 4x^-1 -6
= 9x - 28x^-1 - 6
Y' = 1.9x^1-1 + 28x^-1-1
= 9 + 28x^-2
= 9+28/x^2

y = (9x - 7)/(4x - 6)

misalkan :

f(x) = 9x - 7 => f'(x) = 9
g(x) = 4x - 6 => g'(x) = 4

maka :

y' = [9(4x - 6) - (9x - 7)(4)]/(4x - 6)^2

y' = [(36x - 54) - (36x - 28)]/(4x - 6)^2

y' = (36x - 54 - 36x + 28)/(4x - 6)^2

y' = -26/(4x - 6)^2