Turunan pertama futurunanngsi f(x)=sin4(5-3x)

Turunan Trigonometri

f(x) = sin⁴ (5 – 3x)

dengan  Dalil Rantai

u = 5 – 3x  

du/dx = – 3

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t = sin u

dt/du = cos u

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y = t⁴

dy/dt = 4 t³

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y' =  dy/dx

dy/dx = dy/dt. dt/du. du/dx

y' = 4t³. cos u. (-3)

y' = -12 t³ cos u

y'= -12 (sin u)³ cos (5-3x)

y' = – 12 sin³ (5 -3x)  cos (5- 3x)