2 2 / 2 \ 3
cos (x)*tan (4*x + 1)*\12 + 12*tan (4*x + 1)/ - 2*tan (4*x + 1)*cos(x)*sin(x)
$$\left(12 \tan^{2}{\left(4 x + 1 \right)} + 12\right) \cos^{2}{\left(x \right)} \tan^{2}{\left(4 x + 1 \right)} - 2 \sin{\left(x \right)} \cos{\left(x \right)} \tan^{3}{\left(4 x + 1 \right)}$$
/ 2 / 2 2 \ 2 / 2 \ / 2 \ / 2 \ \
2*\tan (1 + 4*x)*\sin (x) - cos (x)/ + 48*cos (x)*\1 + tan (1 + 4*x)/*\1 + 2*tan (1 + 4*x)/ - 24*\1 + tan (1 + 4*x)/*cos(x)*sin(x)*tan(1 + 4*x)/*tan(1 + 4*x)
$$2 \left(\left(\sin^{2}{\left(x \right)} - \cos^{2}{\left(x \right)}\right) \tan^{2}{\left(4 x + 1 \right)} + 48 \left(\tan^{2}{\left(4 x + 1 \right)} + 1\right) \left(2 \tan^{2}{\left(4 x + 1 \right)} + 1\right) \cos^{2}{\left(x \right)} - 24 \left(\tan^{2}{\left(4 x + 1 \right)} + 1\right) \sin{\left(x \right)} \cos{\left(x \right)} \tan{\left(4 x + 1 \right)}\right) \tan{\left(4 x + 1 \right)}$$
/ / 2 \ \
| 3 2 / 2 \ / 2 2 \ 2 / 2 \ |/ 2 \ 4 2 / 2 \| / 2 \ / 2 \ |
8*\tan (1 + 4*x)*cos(x)*sin(x) + 9*tan (1 + 4*x)*\1 + tan (1 + 4*x)/*\sin (x) - cos (x)/ + 48*cos (x)*\1 + tan (1 + 4*x)/*\\1 + tan (1 + 4*x)/ + 2*tan (1 + 4*x) + 7*tan (1 + 4*x)*\1 + tan (1 + 4*x)// - 72*\1 + tan (1 + 4*x)/*\1 + 2*tan (1 + 4*x)/*cos(x)*sin(x)*tan(1 + 4*x)/
$$8 \left(9 \left(\sin^{2}{\left(x \right)} - \cos^{2}{\left(x \right)}\right) \left(\tan^{2}{\left(4 x + 1 \right)} + 1\right) \tan^{2}{\left(4 x + 1 \right)} - 72 \left(\tan^{2}{\left(4 x + 1 \right)} + 1\right) \left(2 \tan^{2}{\left(4 x + 1 \right)} + 1\right) \sin{\left(x \right)} \cos{\left(x \right)} \tan{\left(4 x + 1 \right)} + 48 \left(\tan^{2}{\left(4 x + 1 \right)} + 1\right) \left(\left(\tan^{2}{\left(4 x + 1 \right)} + 1\right)^{2} + 7 \left(\tan^{2}{\left(4 x + 1 \right)} + 1\right) \tan^{2}{\left(4 x + 1 \right)} + 2 \tan^{4}{\left(4 x + 1 \right)}\right) \cos^{2}{\left(x \right)} + \sin{\left(x \right)} \cos{\left(x \right)} \tan^{3}{\left(4 x + 1 \right)}\right)$$