Turunan dari f(x) = 5sin
(3-4x²) adalah ...
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v=3-4x^2
dv/dx=-8x
u=sin v
du/dv=cos v=cos (3-4x^2)
y=5u^4
dy/du=20u^3=20(sin(3-4x^2))^3
jadi:
dy/dx = dv/dx * du/dv * dy/du
= -8x * cos (3-4x^2) * 20(sin(3-4x^2))^3
= -160x cos (3-4x^2) (sin(3-4x^2))^3
atau