Cho các hàm số \(f\left(x\right)=\sin^32x\) và \(g\left(x\right)=4\cos2x-5\sin4x\). Giải phương trình \(f'\left(x\right)=g\left(x\right)\).
\(\dfrac{\pi}{4}+k\pi,k\in Z\).\(\dfrac{1}{2}arc\sin\dfrac{1}{3}+k\pi,k\in Z\) hoặc \(\dfrac{\pi}{2}-\dfrac{1}{2}arc\sin\dfrac{1}{3}+k\pi,k\in Z\).\(\dfrac{\pi}{4}+k\pi,k\in Z\) hoặc \(\dfrac{1}{2}arc\sin\dfrac{1}{3}+k\pi,k\in Z\).\(\dfrac{\pi}{4}+k\pi,k\in Z\) hoặc \(\dfrac{1}{2}arc\sin\dfrac{1}{3}+k\pi,k\in Z\) hoặc \(\dfrac{\pi}{2}-\dfrac{1}{2}arc\sin\dfrac{1}{3}+k\pi,k\in Z\).