ແກ້ cos(sin(3θ))

$$\cos ( \sin ( 3 \theta ) )$$

ປະເມີນ

$$\cos(\sin(3\theta ))$$

ບອກຄວາມແຕກຕ່າງ w.r.t. θ

$$3\left(\sin(\left(\sin(\theta )\right)^{3})\left(\cos(\theta )\cos(\sin(\theta )\left(\cos(\theta )\right)^{2})\right)^{3}+\cos(\left(\sin(\theta )\right)^{3})\left(\cos(\theta )\sin(\sin(\theta )\left(\cos(\theta )\right)^{2})\right)^{3}+9\cos(\theta )\sin(\left(\sin(\theta )\right)^{3})\cos(\sin(\theta )\left(\cos(\theta )\right)^{2})\left(\sin(\theta )\sin(\sin(\theta )\left(\cos(\theta )\right)^{2})\right)^{2}+9\cos(\theta )\cos(\left(\sin(\theta )\right)^{3})\sin(\sin(\theta )\left(\cos(\theta )\right)^{2})\left(\sin(\theta )\cos(\sin(\theta )\left(\cos(\theta )\right)^{2})\right)^{2}-3\left(\cos(\theta )\right)^{3}\sin(\left(\sin(\theta )\right)^{3})\cos(\sin(\theta )\left(\cos(\theta )\right)^{2})\left(\sin(\sin(\theta )\left(\cos(\theta )\right)^{2})\right)^{2}-3\left(\cos(\theta )\right)^{3}\cos(\left(\sin(\theta )\right)^{3})\sin(\sin(\theta )\left(\cos(\theta )\right)^{2})\left(\cos(\sin(\theta )\left(\cos(\theta )\right)^{2})\right)^{2}-3\cos(\theta )\left(\sin(\theta )\right)^{2}\sin(\left(\sin(\theta )\right)^{3})\left(\cos(\sin(\theta )\left(\cos(\theta )\right)^{2})\right)^{3}-3\cos(\theta )\left(\sin(\theta )\right)^{2}\cos(\left(\sin(\theta )\right)^{3})\left(\sin(\sin(\theta )\left(\cos(\theta )\right)^{2})\right)^{3}\right)$$