Calculus for Machine Learning and Data Science - Week 1

Derivatives

Machine Learning Motivation

• Linear regression problem

• A lot of mathematics affect model training process

Motication to Derivatives -Part 1

• 기울기 구하기
  
  

Derivatives and Tangents

• get so close to limit. dx over dt = tangent line
  • instantaneous rate of change = slope of tangent line
  • The derivative of a funciont at a point = the slope of the tangent at that particular point

Slopes, maxima and minima

• 차가 가장 멀리 간 곳은 차가 안 움직인 순간
  • maximum or minimum in a function, derivative is zero

The inverse function and its derivative

• g(x) = f^-1(x)
  g(f(x)) = x

• so if f and g are inverse functions, derivative of g(x) is 1 over derivative of f(x)

Derivative of trigonometric functions

빗변(hypotenuse)

Meaning of the Exponential (e)

• Euler's number e(Napier's constant)
  • Decimal never terminates, irrational
  • exponential

• consider 발생이자(accrued interests)

• Euler's number 참고글
  https://ghebook.blogspot.com/2010/10/eulers-number.html