$$\lim_{x\to0}\left(\frac{1}{\sin\left(x\right)}-\frac{1}{e^x}\right)$$

$$y\:=\frac{3}{4}x-2$$

$$f\left(6\right)=5\left(2\right)^6$$

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

$$5x+18y-13x-14y$$

$$\lim_{x\to0}\frac{1}{\left(1+x\right)^{2x}}$$

$$xy'=3y-6x^2$$