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Mathematics 20 Online
OpenStudy (anonymous):

What it says is: Determine the x-coordinates of the points of inflection for the graph of f(x). so I took the derivative of f(x)=9e and I got 0, how am I supposed to get a point of inflection from this?

OpenStudy (anonymous):

wait, i forgot to say something, I know that the point of inflection is the derivative of the function twice, and that is what 9e is, I had already taken the derivative once. :)

OpenStudy (anonymous):

For inflection points you want to see when the curvature changes. That means that the second derivative changes sign.

OpenStudy (anonymous):

Yep, but there is no x to set equal to x, sooo what do I do?

OpenStudy (anonymous):

x=0, sorry typoo

OpenStudy (anonymous):

What was the original function

OpenStudy (anonymous):

f(x)=3xe^(-x^2)

OpenStudy (anonymous):

And you got 9e when you took the derivative?

OpenStudy (anonymous):

Yep

OpenStudy (anonymous):

That's unpossible

OpenStudy (anonymous):

omg. omg. I realized what i did wrong. thank you

OpenStudy (anonymous):

the i plugged in 1 for x for some odd, odd, odd reason.

OpenStudy (anonymous):

If the derivative were 9e, then I should be able to integrate 9e and get back to the original function plus a constant. But the integral of 9e is 9ex

OpenStudy (anonymous):

which is not the function

OpenStudy (anonymous):

lol exactly. :) ha thank you!

OpenStudy (anonymous):

=)

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