/ d / log(3) \\|
(-cos(x) + 2*x)*|-----|---------||| 2
\dxi_2\log(xi_2)//|xi_2=x - sin(x)
$$\left(2 x - \cos{\left(x \right)}\right) \left. \frac{d}{d \xi_{2}} \frac{\log{\left(3 \right)}}{\log{\left(\xi_{2} \right)}} \right|_{\substack{ \xi_{2}=x^{2} - \sin{\left(x \right)} }}$$
2 / 2 \
(-cos(x) + 2*x) *|1 + ----------------|*log(3)
| / 2 \|
/ d / log(3) \\| \ log\x - sin(x)//
(2 + sin(x))*|-----|---------||| 2 + ----------------------------------------------
\dxi_2\log(xi_2)//|xi_2=x - sin(x) 2
/ 2 \ 2/ 2 \
\x - sin(x)/ *log \x - sin(x)/
$$\left(\sin{\left(x \right)} + 2\right) \left. \frac{d}{d \xi_{2}} \frac{\log{\left(3 \right)}}{\log{\left(\xi_{2} \right)}} \right|_{\substack{ \xi_{2}=x^{2} - \sin{\left(x \right)} }} + \frac{\left(1 + \frac{2}{\log{\left(x^{2} - \sin{\left(x \right)} \right)}}\right) \left(2 x - \cos{\left(x \right)}\right)^{2} \log{\left(3 \right)}}{\left(x^{2} - \sin{\left(x \right)}\right)^{2} \log{\left(x^{2} - \sin{\left(x \right)} \right)}^{2}}$$
3 / 2 \ 3 / 2 \ / 2 \
2*(-cos(x) + 2*x) *|1 + ----------------|*log(3) 2*(-cos(x) + 2*x) *|1 + ----------------|*log(3) 3*|1 + ----------------|*(2 + sin(x))*(-cos(x) + 2*x)*log(3)
3 | / 2 \| | / 2 \| | / 2 \|
/ d / log(3) \\| 2*(-cos(x) + 2*x) *log(3) \ log\x - sin(x)// \ log\x - sin(x)// \ log\x - sin(x)//
|-----|---------||| 2 *cos(x) - -------------------------------- - ------------------------------------------------ - ------------------------------------------------ + ------------------------------------------------------------
\dxi_2\log(xi_2)//|xi_2=x - sin(x) 3 3 3 2
/ 2 \ 4/ 2 \ / 2 \ 3/ 2 \ / 2 \ 2/ 2 \ / 2 \ 2/ 2 \
\x - sin(x)/ *log \x - sin(x)/ \x - sin(x)/ *log \x - sin(x)/ \x - sin(x)/ *log \x - sin(x)/ \x - sin(x)/ *log \x - sin(x)/
$$\cos{\left(x \right)} \left. \frac{d}{d \xi_{2}} \frac{\log{\left(3 \right)}}{\log{\left(\xi_{2} \right)}} \right|_{\substack{ \xi_{2}=x^{2} - \sin{\left(x \right)} }} - \frac{2 \cdot \left(1 + \frac{2}{\log{\left(x^{2} - \sin{\left(x \right)} \right)}}\right) \left(2 x - \cos{\left(x \right)}\right)^{3} \log{\left(3 \right)}}{\left(x^{2} - \sin{\left(x \right)}\right)^{3} \log{\left(x^{2} - \sin{\left(x \right)} \right)}^{2}} + \frac{3 \cdot \left(1 + \frac{2}{\log{\left(x^{2} - \sin{\left(x \right)} \right)}}\right) \left(2 x - \cos{\left(x \right)}\right) \left(\sin{\left(x \right)} + 2\right) \log{\left(3 \right)}}{\left(x^{2} - \sin{\left(x \right)}\right)^{2} \log{\left(x^{2} - \sin{\left(x \right)} \right)}^{2}} - \frac{2 \cdot \left(1 + \frac{2}{\log{\left(x^{2} - \sin{\left(x \right)} \right)}}\right) \left(2 x - \cos{\left(x \right)}\right)^{3} \log{\left(3 \right)}}{\left(x^{2} - \sin{\left(x \right)}\right)^{3} \log{\left(x^{2} - \sin{\left(x \right)} \right)}^{3}} - \frac{2 \left(2 x - \cos{\left(x \right)}\right)^{3} \log{\left(3 \right)}}{\left(x^{2} - \sin{\left(x \right)}\right)^{3} \log{\left(x^{2} - \sin{\left(x \right)} \right)}^{4}}$$