$f\left(x\right)=\sen^{-1}\left(x^{2}+4x\right)^{3}\cdot\ln\left(\frac{x+2}{2}\right)^{2}$

$\left(a^3-b^5\right)^2$

$6x\left(x-1\right)e^{-2x}=0$

$\frac{d}{dx}\left(\ln\left(\sin^2\left(t\right)\right)\right)$

$x^4-x-1=-1$

$sin\:4x\:cos\:x-sin\:x\:cos\:4x\:=\:\frac{\sqrt{2}}{2}$

$-\tan\left(-x\right)\cot\left(-x\right)$