anonymous
  • anonymous
Can someone tell me what the 2nd derivative is? and what is it used for? use f(x)=xe^x as an example plz.
Mathematics
jamiebookeater
  • jamiebookeater
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ParthKohli
  • ParthKohli
There's a good application: Acceleration of an object is the second derivative of its position function.
anonymous
  • anonymous
2e^x+xe^X
Mimi_x3
  • Mimi_x3
Well when differentiating twice you can get the Point Of inflexion on a curve.

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ParthKohli
  • ParthKohli
The second derivative is the rate of change of rate of change.
zugzwang
  • zugzwang
First derivative is your rate of change of the function, it tells you if your function is going up, down at a point. Second derivative is the rate of chance OF the rate of change, it tells you if the graph of the function is concave up or concave down at a point
anonymous
  • anonymous
so I find the derivative of \[f(x)=xe^x\] using the product rule, then i derive it again?
Mimi_x3
  • Mimi_x3
yeah lol use the product rule when you differentiated it
anonymous
  • anonymous
thank you

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