# What are the inflection points of #f(x) = (x^2)(e^18x)#?

##### 1 Answer

You can almost tell that the

*The first derivative gives you the slope. The second gives you the concavity.*

Since that is the case, when the second derivative at some **positive**, it's concave **up** and vice versa. A function with an inflection point is either concave up, concave down, or neither. Therefore, if there's somewhere that the second derivative is equal to **inflection point**.

Simply from writing out

Now let's just set this to

...Yep, that's really the only one.