Dapatkan turunan dari A. Y= (4xpangkat 3 +7) sin 5x B. Y=16x-3xpangkat 2 : 4-5xpangkat 3

y = (4x^3 +7) sin 5x
u (x) = 4x^3 +7 => u'(x) = 12x^2
v (x) = sin 5x => v'(x) = 5 cos 5x
y = u(x).v(x)
y' (x) = u'(x).v(x) + u(x).v'(x)
y' = 12x^2(sin 5x) + (4x^2 + 7).5 cos 5x
y' = 12x^2. sin 5x + (20x^2+ 35) cos 5x
B) y = ( 16x -3x^2 ) / (4-5x^3)
u(x) = 16x -3x^2 => u'(x) = 16 -6x
v(x) = 4- 5x^3 => v'(x) = -15x^2
y = u(x) / v(x)
y' = { u'(x).v(x) - u(x).v'(x) } / {v(x) }^2
y' = { (16-6x)(4-5x^3) - (16x-3x^2)(-15x^2)}/ ((4-5x^3)^2
y' = {(64-80x^3-24x+30x^4) - (-240x^3+45x^4)}/(4-5x^3)^2
y' = (30x^4-80x^3-24x+64 -45x^4+240x^3) / (4-5x^3)^2
y' = (-15x^4+160x^3-24x+64) / (4-5x^3)^2