Algebra and Differential Calculus for Data Science _ University of Colorado Boulder #Week2,3

Proof by Induction (예제를 통한 증명)

 

Limits at infinity

Continuity of a Function

 

Derivative (미분)

 (e^x)' = e^x

 

Derivative a Constant

Constant는 y=2처럼 constant한 값을 의미함 --> 미분 시 0

 

Product Rule

(f*g)' = f'g+fg'

 

Quotient Rule

(f/g)' =(f'g-fg')/g^2

 

Chain Rule

(f(x))^k = {k(f(x))^(k-1)} * f'(x)

 

Finding Concavity with the second Derivative(f''(x))

concvity 즉, 위로 오목한지 밑으로 오목한지 알 수 있음