Can someone tell me what the 2nd derivative is? and what is it used for? use f(x)=xe^x as an example plz.
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There's a good application: Acceleration of an object is the second derivative of its position function.
Well when differentiating twice you can get the Point Of inflexion on a curve.
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The second derivative is the rate of change of rate of change.
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
so I find the derivative of \[f(x)=xe^x\] using the product rule, then i derive it again?
use the product rule when you differentiated it