$\lim_{x\to1}\left(\frac{x^3+1}{\left(x-1\right)^{0.5}}\right)$

$\left(\left(x\right)\left(y^5\right)\left(y'\right)\right)+\left(\left(y^4\right)\left(x^2\right)\right)-\left(\left(x\right)\left(y^5\right)\right)$

$1-3ax1+3ax$

$-7p-6\left(10p+6\right)$

$\frac{d}{dx}y=\frac{1}{5}x^5-3x^4+9x^2+1$

$\frac{1}{2}.\left(x-2\right)+1=\frac{2}{3}x-3$

$\frac{dy}{dx}+2y=e^{-3x}$