$\left(\frac{\sqrt{2}\cdot\:3^{\frac{2}{3}}x^{\frac{5}{6}}}{3x}\right)$

$\lim_{x\to0}\left(\frac{1}{x}-\frac{1}{x^2.secx}\right)$

$\int_0^1x^3\cos\left(x\right)dx$

$\frac{dy}{dt}=ky\left(16-y\right)$

$\int\frac{9x-8}{\left(-3\right)\left(2x-5\right)}dx$

$\ln\left(4x\right)=\ln x+\ln4$

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