$$\lim_{x\to1}\left(\frac{x^2-7x+6}{x-1}\right)$$

$$\frac{3x^3+1}{x^2}$$

$$\frac{1}{2}m^2n\:+\:\frac{-1}{3}m^2n$$

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

$$t\frac{dy}{dt}+2y-t^2=0,\:y\left(1\right)=1$$

$$\frac{d}{dx}\left(\ln e^5x\right)$$

$$\lim_{x\to0}\left(\frac{\sqrt[3]{x-2}-\sqrt[3]{3x-12}}{x-5}\right)$$