Find the inflection points at x=C and x=D with C less than or equal to D?
Consider the function f(x) = x^(2)e^(9x).
I just don't know how to determine what the inflection points are after I find the second derivative.
f(x) has two inflection points at x = C and x = D with C less than or equal to D
What is C
What is D

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this

and **thousands** of other questions.

- anonymous

- katieb

See more answers at brainly.com

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this

and **thousands** of other questions

- anonymous

take the derivative twice, set it equal to zero, there are to answers
one is smaller than the other, the smaller one is C and the larger one is D

- anonymous

*two answers

- anonymous

when you get the second derivative, factor out the \(e^{9x}\) and get
\[e^{9 x} (81 x^2+36 x+2)\]

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

- anonymous

\(e^{9x}\) is never zero, solve the quadratic equation you will get two zeros, those are the inflection points

- anonymous

Oh! Thank you! It's the quadratic function that I need to use for this problem.

- anonymous

And to find C and D would be by inputing it into which function?

- anonymous

I mean inputing the value of x.

- anonymous

exactly
you get two answers from the quadratic formula
the smaller one C and the larger on D
if you have to write both coordiates, yes, you evaluate the function at those points (the original function)

- anonymous

Thank you so much! This helps a whole lot!

- anonymous

yw

Looking for something else?

Not the answer you are looking for? Search for more explanations.