Rules of Derivatives

$$\sin(2\alpha)$$

$$f' + g'$$

$$(a \cdot f(x))'$$

$$a \cdot f'(x)$$

$$(f \cdot g)'$$

$$f' g + g' f$$

$$\left(\frac{f}{g}\right)'$$

$$\frac{f' g - g' f}{g^2}$$

$$\frac{df(g(x))}{dx}$$

$$\frac{df}{dg} \cdot \frac{dg}{dx}$$

$$\int x^n dx$$

$$\frac{x^{n+1}}{n+1} + C$$