turunan dari y=ln(3x-25)^½

y = ln (3x - 25)^1/2

Misal u = (3x - 25)^1/2
du/dx = 1/2 (3x - 25)^-1/2 . 3
du/dx = 3/2 . 1/(3x - 25)
du/dx = 3 / 2√(3x - 25)

y = ln u => dy/du = 1/u = 1/(3x - 25)^1/2 = 1/√(3x - 25)

dy/dx = dy/du . du/dx
dy/dx = 1/√(3x - 25) . 3/(2√(3x - 25))
= 3/2(3x - 25)
= 3/(6x - 50)