MATH0801 Lecture Notes - Lecture 1: Quotient Rule, Power Rule, Product Rule
Document Summary
1 and: constant rule, power rule, constant multiple rule, sum/difference rule, product rule, quotient rule: Examples: f x =x 2 x 8 f x =3 x 7 7 x 3 21 x2: y= x 3. 4 t 2: y=4 2 x x 3, r= 4: y= x 1 x 2 x 1 , y= x 1 x x 1 x. 1 e x: w= 2 x 7 1 e x, u= 12 e x: s= t 2 5 t 1 e t t2. If f x is a differentiable function, then f " x is also a function. If f " x is also differentiable, then we can differentiate f " x to get d dx f " x =f "" x . The function f "" x is called the second derivative of f x . Notation: f "" x = y "" = d 2 f dx 2 = d dx df dx .
