/ 2 \
/ 3\ |/ / 3\ \ / 3\ |
sin\x / ||sin\x / 2 / 3\ | sin\x / / 3\ 4 / 3\ / 3\ |
x *||------- + 3*x *cos\x /*log(x)| - ------- + 6*x*cos\x / - 9*x *log(x)*sin\x / + 6*x*cos\x /*log(x)|
|\ x / 2 |
\ x /
$$x^{\sin{\left(x^{3} \right)}} \left(- 9 x^{4} \log{\left(x \right)} \sin{\left(x^{3} \right)} + 6 x \log{\left(x \right)} \cos{\left(x^{3} \right)} + 6 x \cos{\left(x^{3} \right)} + \left(3 x^{2} \log{\left(x \right)} \cos{\left(x^{3} \right)} + \frac{\sin{\left(x^{3} \right)}}{x}\right)^{2} - \frac{\sin{\left(x^{3} \right)}}{x^{2}}\right)$$
/ 3 \
/ 3\ |/ / 3\ \ / / 3\ \ / / 3\ \ / 3\ |
sin\x / ||sin\x / 2 / 3\ | / 3\ 3 / 3\ |sin\x / 2 / 3\ | |sin\x / / 3\ / 3\ 4 / 3\| 2*sin\x / / 3\ 3 / 3\ 6 / 3\ |
x *||------- + 3*x *cos\x /*log(x)| + 9*cos\x / - 27*x *sin\x / - 3*|------- + 3*x *cos\x /*log(x)|*|------- - 6*x*cos\x / - 6*x*cos\x /*log(x) + 9*x *log(x)*sin\x /| + --------- + 6*cos\x /*log(x) - 54*x *log(x)*sin\x / - 27*x *cos\x /*log(x)|
|\ x / \ x / | 2 | 3 |
\ \ x / x /
$$x^{\sin{\left(x^{3} \right)}} \left(- 27 x^{6} \log{\left(x \right)} \cos{\left(x^{3} \right)} - 54 x^{3} \log{\left(x \right)} \sin{\left(x^{3} \right)} - 27 x^{3} \sin{\left(x^{3} \right)} + \left(3 x^{2} \log{\left(x \right)} \cos{\left(x^{3} \right)} + \frac{\sin{\left(x^{3} \right)}}{x}\right)^{3} - 3 \left(3 x^{2} \log{\left(x \right)} \cos{\left(x^{3} \right)} + \frac{\sin{\left(x^{3} \right)}}{x}\right) \left(9 x^{4} \log{\left(x \right)} \sin{\left(x^{3} \right)} - 6 x \log{\left(x \right)} \cos{\left(x^{3} \right)} - 6 x \cos{\left(x^{3} \right)} + \frac{\sin{\left(x^{3} \right)}}{x^{2}}\right) + 6 \log{\left(x \right)} \cos{\left(x^{3} \right)} + 9 \cos{\left(x^{3} \right)} + \frac{2 \sin{\left(x^{3} \right)}}{x^{3}}\right)$$