Can someone explain the difference between:
$\displaystyle e^{(x^2)}$ and $\displaystyle e^{x^2}$
I'm sure it is a simple answer, but as my Calc II final is tomorrow, I'm practically brain dead
Thanks!
Their graphs are different, that is why I ask. Here is how I put them into my calculator:
y = e^(x)^2 *this one looks like your run of the mill exponential compressed vertically
y = e^(x^2) *this one looks like a vertically compressed parabola, vertex @ (0,1)
I just need to know because I'm pretty sure I'll see it tomorrow on my final in the volumes of rotation section
Ok, So I'm assuming that since like Skeeter said $\displaystyle e^{(x^2)}$ is being interpreted at $\displaystyle e^{(2x)}$ that the graph of $\displaystyle e^{x^2}$ looks like $\displaystyle e^x$ but compressed vertically is the correct graph.