Solve d/dx[1/6n(cos^6x*2*pix-picos^2pix)]

$$\frac { d } { d x } [ \frac { 1 } { 6 n } ( \cos ^ { 6 } x \cdot 2 \cdot \pi x - \pi \cos ^ { 2 } \pi x ) ]$$

Evaluate

$$\frac{\pi \left(-24x\sin(2\pi x^{2})\left(\cos(2\pi x^{2})\right)^{5}+\pi \sin(2\pi x)\right)}{6n}$$

Differentiate w.r.t. x

$$\frac{\pi \left(48\pi \left(x\sin(\pi x^{2})\right)^{2}\left(\cos(2\pi x^{2})\right)^{5}-48\pi \left(x\cos(\pi x^{2})\right)^{2}\left(\cos(2\pi x^{2})\right)^{5}+240\pi \left(\cos(2\pi x^{2})\right)^{4}\left(x\sin(2\pi x^{2})\right)^{2}-12\sin(2\pi x^{2})\left(\cos(2\pi x^{2})\right)^{5}+\left(\pi \cos(\pi x)\right)^{2}-\left(\pi \sin(\pi x)\right)^{2}\right)}{3n}$$