Can someone tell me what the 2nd derivative is? and what is it used for? use f(x)=xe^x as an example plz.

Question

parthkohli · Answer

There's a good application: Acceleration of an object is the second derivative of its position function.

anonymous · Answer

2e^x+xe^X

mimi_x3 · Answer

Well when differentiating twice you can get the Point Of inflexion on a curve.

parthkohli · Answer

The second derivative is the rate of change of rate of change.

zugzwang · Answer

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 · Answer

so I find the derivative of $$f(x)=xe^x$$ using the product rule, then i derive it again?

mimi_x3 · Answer

yeah lol

use the product rule when you differentiated it

anonymous · Answer

thank you