Selesaikan =4sin^3(2pix)+3cos(2pix)-5sqrt[3]{sin(2pix)}

$$= 4 \sin ^ { 3 } ( 2 \pi x ) + 3 \cos ( 2 \pi x ) - 5 \sqrt[ 3 ] { \sin ( 2 \pi x ) }$$

Nilaikan

$$4\left(\sin(2\pi x)\right)^{3}+3\cos(2\pi x)-5\sqrt[3]{\sin(2\pi x)}$$

Bezakan w.r.t. x

$$\frac{\pi \sqrt[3]{2}\left(144\times 2^{\frac{2}{3}}\left(\sin(\pi x)\right)^{\frac{8}{3}}\left(\cos(\pi x)\right)^{\frac{14}{3}}-144\times 2^{\frac{2}{3}}\left(\cos(\pi x)\right)^{\frac{8}{3}}\left(\sin(\pi x)\right)^{\frac{14}{3}}-9\times 2^{-\frac{2}{3}}\times 2^{\frac{2}{3}}\left(\sin(2\pi x)\right)^{\frac{5}{3}}-5\cos(2\pi x)\right)}{3\times \left(\frac{\sin(2\pi x)}{2}\right)^{\frac{2}{3}}}$$