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The Second Derivatives

2.3   The Second Derivatives
 
  • The second derivative of a function \(y=f(x)\) with respect to \(x\) :
     
   \(\dfrac{d^2y}{dx^2} = \dfrac{d}{dx} \begin{pmatrix} \dfrac{dy}{dx}\end{pmatrix} \text{ or } f''(x) = \dfrac{d}{dx}[f'(x)]\)   
     
 
Function
     
  \(y=f(x)=x^3 - 2x^2+3x-5\)  
     
First Derivative
     
  \(\dfrac{dy}{dx}=f'(x)=3x^2 - 4x+3\)  
     
Second Derivative
     
  \(\dfrac{d^2y}{dx^2}=f''(x)=6x - 4\)  
     
 
 
The views expressed in the notes here are those of the contributor and don’t necessarily represent the views of pandai.
Chapter : Differentiation
Topic : Second Order Differentiation
Form 5 Additional Mathematics
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