๋ฏธ๋ถ(Differentiation)
1. Chain Rule
$$\frac{dy}{dx} = \frac{dy}{du} \times \frac{du}{dx}$$
2. Product Rule
$$\frac{dy}{dx} = \frac{du}{dx}v + u\frac{dv}{dx}$$
์ด๋ฅผ ๋ค๋ฅด๊ฒ ์ฐ๋ฉด,
$$y = f(x)g(x)$$
$$\rightarrow y'=f'(x)g(x)+f(x)g'(x)$$
3. Quotient Rule
$$y = \frac{f(x)}{g(x)}$$
$$\rightarrow y' = \frac{f'(x)g(x) - f(x)g'(x)}{g^2(x)}$$
4. Implicit Differentiation
$$\frac{d}{dx}[f(y)] = \frac{d}{dy}[f(y)] \times \frac{dy}{dx} $$