$$\frac{dy}{dx}\left(y=x^{\frac{3}{x}}\right)$$

$$\lim_{x\to-1}\left(x^3+1\right)\lim_{x\to-1}\left(y+1\right)$$

$$\lim_{x\to100}\left(\frac{x\ln\left(x+1\right)}{x^2+1}\right)$$

$$9x^2+6x-1\le0$$

$$-76-\left(-11\right)$$

$$\left(\frac{2\sqrt[4]{x^3}}{\sqrt[3]{y}}\right)^3$$

$$\frac{d}{dx}\left(\sqrt{\sin\left(x\right)+\sqrt{\cos\left(2x\right)-\sqrt{x}}}\right)$$