Find the limit of $\frac{2x^3-2x^2+x-3}{x^3+2x^2-x+1}$ as $x$ approaches $\infty $

Find the derivative

$\frac{d}{dx}\left(2x-1\cdot 4\cdot \ln\left(x+2\right)\right)$

Find the derivative

$\frac{d}{dx}\left(\pi100^2=0\right)$

Find the derivative

$\frac{d}{dx}\left(e^{8x}+4x+e^{8x}\right)$

Find the derivative

$\frac{d}{dx}\left(x^2-2x^5\ln\left(x+2\right)\right)$

Find the derivative

$\frac{d}{dx}\left(4\sec\left(x\right)-2\csc\left(x\right)\right)$

Find the derivative

$\frac{d}{dx}\left(e^{2x}-x\cdot \cos\left(xy\right)\right)$

Find the derivative

$\frac{d}{dx}\left(9x^4\cdot\ln\left(x^4\right)+\ln\left(x\right)^5\right)$