sin(x)
3*4 sin(x)
- --------- - 4 *atan(3*x)*cos(x)*log(4)
2
1 + 9*x
$$- 4^{\sin{\left(x \right)}} \log{\left(4 \right)} \cos{\left(x \right)} \operatorname{atan}{\left(3 x \right)} - \frac{3 \cdot 4^{\sin{\left(x \right)}}}{9 x^{2} + 1}$$
sin(x) / 54*x / 2 \ 6*cos(x)*log(4)\
4 *|----------- + \- cos (x)*log(4) + sin(x)/*atan(3*x)*log(4) - ---------------|
| 2 2 |
|/ 2\ 1 + 9*x |
\\1 + 9*x / /
$$4^{\sin{\left(x \right)}} \left(\frac{54 x}{\left(9 x^{2} + 1\right)^{2}} + \left(\sin{\left(x \right)} - \log{\left(4 \right)} \cos^{2}{\left(x \right)}\right) \log{\left(4 \right)} \operatorname{atan}{\left(3 x \right)} - \frac{6 \log{\left(4 \right)} \cos{\left(x \right)}}{9 x^{2} + 1}\right)$$
/ / 2 \ \
| | 36*x | |
| 54*|-1 + --------| |
| | 2| / 2 \ |
sin(x) | \ 1 + 9*x / 9*\- cos (x)*log(4) + sin(x)/*log(4) / 2 2 \ 162*x*cos(x)*log(4)|
4 *|- ------------------ + ------------------------------------ + \1 - cos (x)*log (4) + 3*log(4)*sin(x)/*atan(3*x)*cos(x)*log(4) + -------------------|
| 2 2 2 |
| / 2\ 1 + 9*x / 2\ |
\ \1 + 9*x / \1 + 9*x / /
$$4^{\sin{\left(x \right)}} \left(\frac{162 x \log{\left(4 \right)} \cos{\left(x \right)}}{\left(9 x^{2} + 1\right)^{2}} + \left(3 \log{\left(4 \right)} \sin{\left(x \right)} - \log{\left(4 \right)}^{2} \cos^{2}{\left(x \right)} + 1\right) \log{\left(4 \right)} \cos{\left(x \right)} \operatorname{atan}{\left(3 x \right)} + \frac{9 \left(\sin{\left(x \right)} - \log{\left(4 \right)} \cos^{2}{\left(x \right)}\right) \log{\left(4 \right)}}{9 x^{2} + 1} - \frac{54 \left(\frac{36 x^{2}}{9 x^{2} + 1} - 1\right)}{\left(9 x^{2} + 1\right)^{2}}\right)$$