$y=\sqrt[2]{x}+\frac{1}{\sqrt[3]{x}}$

$\frac{30x^{5}\cdot11x^{4}+12x^{3}+52x^{2}+x-12}{5x+4}$

$\frac{1+sec^2\left(x\right)}{1+tan^2\left(x\right)}=1+cos^2\left(x\right)$

$-3\left(3x^2\right)\left(-x^3\right)^2$

$169x^2-26x+1$

$\frac{dy}{dx}=\frac{-y-1}{\left(y-1\right)\left(1+x^2\right)}$

$\int\left(\cos\left(7x+3\right)\right)dx$