3 2/ 4\ / 3/ 4\\
-60*x *acos \5*x /*cos\acos \5*x //
-----------------------------------
___________
/ 8
\/ 1 - 25*x
$$- \frac{60 x^{3} \cos{\left(\operatorname{acos}^{3}{\left(5 x^{4} \right)} \right)} \operatorname{acos}^{2}{\left(5 x^{4} \right)}}{\sqrt{1 - 25 x^{8}}}$$
/ 4 / 3/ 4\\ / 4\ / 3/ 4\\ 8 / 4\ / 3/ 4\\ 4 3/ 4\ / 3/ 4\\\
2 | 40*x *cos\acos \5*x // 3*acos\5*x /*cos\acos \5*x // 100*x *acos\5*x /*cos\acos \5*x // 60*x *acos \5*x /*sin\acos \5*x //| / 4\
60*x *|- ---------------------- - ----------------------------- - ---------------------------------- + ----------------------------------|*acos\5*x /
| 8 ___________ 3/2 8 |
| -1 + 25*x / 8 / 8\ -1 + 25*x |
\ \/ 1 - 25*x \1 - 25*x / /
$$60 x^{2} \left(- \frac{100 x^{8} \cos{\left(\operatorname{acos}^{3}{\left(5 x^{4} \right)} \right)} \operatorname{acos}{\left(5 x^{4} \right)}}{\left(1 - 25 x^{8}\right)^{\frac{3}{2}}} + \frac{60 x^{4} \sin{\left(\operatorname{acos}^{3}{\left(5 x^{4} \right)} \right)} \operatorname{acos}^{3}{\left(5 x^{4} \right)}}{25 x^{8} - 1} - \frac{40 x^{4} \cos{\left(\operatorname{acos}^{3}{\left(5 x^{4} \right)} \right)}}{25 x^{8} - 1} - \frac{3 \cos{\left(\operatorname{acos}^{3}{\left(5 x^{4} \right)} \right)} \operatorname{acos}{\left(5 x^{4} \right)}}{\sqrt{1 - 25 x^{8}}}\right) \operatorname{acos}{\left(5 x^{4} \right)}$$
/ 8 / 3/ 4\\ 2/ 4\ / 3/ 4\\ 16 2/ 4\ / 3/ 4\\ 12 4/ 4\ / 3/ 4\\ 8 2/ 4\ / 3/ 4\\ 4 / 4\ / 3/ 4\\ 4 4/ 4\ / 3/ 4\\ 8 6/ 4\ / 3/ 4\\ 8 3/ 4\ / 3/ 4\\ 12 / 4\ / 3/ 4\\\
| 400*x *cos\acos \5*x // 3*acos \5*x /*cos\acos \5*x // 15000*x *acos \5*x /*cos\acos \5*x // 9000*x *acos \5*x /*sin\acos \5*x // 650*x *acos \5*x /*cos\acos \5*x // 180*x *acos\5*x /*cos\acos \5*x // 270*x *acos \5*x /*sin\acos \5*x // 1800*x *acos \5*x /*cos\acos \5*x // 3600*x *acos \5*x /*sin\acos \5*x // 6000*x *acos\5*x /*cos\acos \5*x //|
120*x*|- ----------------------- - ------------------------------ - -------------------------------------- - ------------------------------------- - ----------------------------------- - ---------------------------------- + ----------------------------------- + ------------------------------------ + ------------------------------------ + ------------------------------------|
| 3/2 ___________ 5/2 2 3/2 8 8 3/2 3/2 2 |
| / 8\ / 8 / 8\ / 8\ / 8\ -1 + 25*x -1 + 25*x / 8\ / 8\ / 8\ |
\ \1 - 25*x / \/ 1 - 25*x \1 - 25*x / \-1 + 25*x / \1 - 25*x / \1 - 25*x / \1 - 25*x / \-1 + 25*x / /
$$120 x \left(- \frac{15000 x^{16} \cos{\left(\operatorname{acos}^{3}{\left(5 x^{4} \right)} \right)} \operatorname{acos}^{2}{\left(5 x^{4} \right)}}{\left(1 - 25 x^{8}\right)^{\frac{5}{2}}} - \frac{9000 x^{12} \sin{\left(\operatorname{acos}^{3}{\left(5 x^{4} \right)} \right)} \operatorname{acos}^{4}{\left(5 x^{4} \right)}}{\left(25 x^{8} - 1\right)^{2}} + \frac{6000 x^{12} \cos{\left(\operatorname{acos}^{3}{\left(5 x^{4} \right)} \right)} \operatorname{acos}{\left(5 x^{4} \right)}}{\left(25 x^{8} - 1\right)^{2}} + \frac{3600 x^{8} \sin{\left(\operatorname{acos}^{3}{\left(5 x^{4} \right)} \right)} \operatorname{acos}^{3}{\left(5 x^{4} \right)}}{\left(1 - 25 x^{8}\right)^{\frac{3}{2}}} + \frac{1800 x^{8} \cos{\left(\operatorname{acos}^{3}{\left(5 x^{4} \right)} \right)} \operatorname{acos}^{6}{\left(5 x^{4} \right)}}{\left(1 - 25 x^{8}\right)^{\frac{3}{2}}} - \frac{650 x^{8} \cos{\left(\operatorname{acos}^{3}{\left(5 x^{4} \right)} \right)} \operatorname{acos}^{2}{\left(5 x^{4} \right)}}{\left(1 - 25 x^{8}\right)^{\frac{3}{2}}} - \frac{400 x^{8} \cos{\left(\operatorname{acos}^{3}{\left(5 x^{4} \right)} \right)}}{\left(1 - 25 x^{8}\right)^{\frac{3}{2}}} + \frac{270 x^{4} \sin{\left(\operatorname{acos}^{3}{\left(5 x^{4} \right)} \right)} \operatorname{acos}^{4}{\left(5 x^{4} \right)}}{25 x^{8} - 1} - \frac{180 x^{4} \cos{\left(\operatorname{acos}^{3}{\left(5 x^{4} \right)} \right)} \operatorname{acos}{\left(5 x^{4} \right)}}{25 x^{8} - 1} - \frac{3 \cos{\left(\operatorname{acos}^{3}{\left(5 x^{4} \right)} \right)} \operatorname{acos}^{2}{\left(5 x^{4} \right)}}{\sqrt{1 - 25 x^{8}}}\right)$$