Please enable JavaScript.

Coggle requires JavaScript to display documents.

미적분, 미적분 - Coggle Diagram

- - - - f'(a) exist
      - f is continuous at a
- - - - (sec(x))'=sec(x)tan(x)
      - (tan(x))'=(sec(x))^2
  - - - (f'(x)g'(x)-f(x)g'(x))/(g(x))^2
  - - - F'(x)=f'[g(x)]g'(x)
      - F=f○g
        
        f and g is differentiable at that point
  - - - ex) y^2+x^2=1 ; y^2=x^2○y
        
        2yy'+2x=0
      - y값을 알면 y값 대입 가능
  - - - dy=f'(x)dx
      - dy≠△y
        
        dy≋△y
- - - - domain.range
    - - f(x)/g(x) domain
    - - horizontally
        
        left/right
      - vertically
        
        upward/donward
    - - stretch/compress
  - - - asymptote
- - - - by the sandwich theorem
- - - - (tan)^2+1=(sec)^2
- - - - ln both side
- - - - y-x^3
      - f'c) doesn't exist
    - - If f has local minimum(maximum) at x=c , and f'(c) is exist them f'(c)=0
- - - - concave upward/downward