/ 2/ 2\\
2*x + \1 + tan \x + 4*x //*(1 + 8*x)
1 + ------------------------------------
2 / 2\
x + tan\x + 4*x /
$$\frac{2 x + \left(8 x + 1\right) \left(\tan^{2}{\left(4 x^{2} + x \right)} + 1\right)}{x^{2} + \tan{\left(4 x^{2} + x \right)}} + 1$$
2
/ / 2 \ \
2 \2*x + \1 + tan (x*(1 + 4*x))/*(1 + 8*x)/ 2 / 2 \
10 + 8*tan (x*(1 + 4*x)) - ------------------------------------------ + 2*(1 + 8*x) *\1 + tan (x*(1 + 4*x))/*tan(x*(1 + 4*x))
2
x + tan(x*(1 + 4*x))
-----------------------------------------------------------------------------------------------------------------------------
2
x + tan(x*(1 + 4*x))
$$\frac{- \frac{\left(2 x + \left(8 x + 1\right) \left(\tan^{2}{\left(x \left(4 x + 1\right) \right)} + 1\right)\right)^{2}}{x^{2} + \tan{\left(x \left(4 x + 1\right) \right)}} + 2 \left(8 x + 1\right)^{2} \left(\tan^{2}{\left(x \left(4 x + 1\right) \right)} + 1\right) \tan{\left(x \left(4 x + 1\right) \right)} + 8 \tan^{2}{\left(x \left(4 x + 1\right) \right)} + 10}{x^{2} + \tan{\left(x \left(4 x + 1\right) \right)}}$$
/ 3 \
|/ / 2 \ \ / / 2 \ \ / 2 2 / 2 \ \|
|\2*x + \1 + tan (x*(1 + 4*x))/*(1 + 8*x)/ / 2 \ / 2 / 2 \ 2 2 \ 3*\2*x + \1 + tan (x*(1 + 4*x))/*(1 + 8*x)/*\5 + 4*tan (x*(1 + 4*x)) + (1 + 8*x) *\1 + tan (x*(1 + 4*x))/*tan(x*(1 + 4*x))/|
2*|------------------------------------------ + \1 + tan (x*(1 + 4*x))/*(1 + 8*x)*\24*tan(x*(1 + 4*x)) + (1 + 8*x) *\1 + tan (x*(1 + 4*x))/ + 2*(1 + 8*x) *tan (x*(1 + 4*x))/ - ---------------------------------------------------------------------------------------------------------------------------|
| 2 2 |
| / 2 \ x + tan(x*(1 + 4*x)) |
\ \x + tan(x*(1 + 4*x))/ /
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2
x + tan(x*(1 + 4*x))
$$\frac{2 \left(\frac{\left(2 x + \left(8 x + 1\right) \left(\tan^{2}{\left(x \left(4 x + 1\right) \right)} + 1\right)\right)^{3}}{\left(x^{2} + \tan{\left(x \left(4 x + 1\right) \right)}\right)^{2}} - \frac{3 \left(2 x + \left(8 x + 1\right) \left(\tan^{2}{\left(x \left(4 x + 1\right) \right)} + 1\right)\right) \left(\left(8 x + 1\right)^{2} \left(\tan^{2}{\left(x \left(4 x + 1\right) \right)} + 1\right) \tan{\left(x \left(4 x + 1\right) \right)} + 4 \tan^{2}{\left(x \left(4 x + 1\right) \right)} + 5\right)}{x^{2} + \tan{\left(x \left(4 x + 1\right) \right)}} + \left(8 x + 1\right) \left(\tan^{2}{\left(x \left(4 x + 1\right) \right)} + 1\right) \left(\left(8 x + 1\right)^{2} \left(\tan^{2}{\left(x \left(4 x + 1\right) \right)} + 1\right) + 2 \left(8 x + 1\right)^{2} \tan^{2}{\left(x \left(4 x + 1\right) \right)} + 24 \tan{\left(x \left(4 x + 1\right) \right)}\right)\right)}{x^{2} + \tan{\left(x \left(4 x + 1\right) \right)}}$$