Hi! I am having some trouble with this Calculus chapter that deals with e. Could anyone help me with this problem? Thanks!

Suppose http://webwork2.math.utah.edu/webwor...2c57fb2ca1.png. Find http://webwork2.math.utah.edu/webwor...0b677397b1.png.

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- Jan 27th 2010, 08:49 PMjslNeed help with e for my Calculus class.
Hi! I am having some trouble with this Calculus chapter that deals with e. Could anyone help me with this problem? Thanks!

Suppose http://webwork2.math.utah.edu/webwor...2c57fb2ca1.png. Find http://webwork2.math.utah.edu/webwor...0b677397b1.png. - Jan 27th 2010, 08:57 PMVonNemo19
$\displaystyle e$ is the easiest thing to work with in calculus. One day, you will be grateful when $\displaystyle e$ shows up, but for now, I'll help you out.

$\displaystyle D_xy=D_x[e^{1/x^2}]+D_x\left[\frac{1}{e^{x^2}}\right]$

$\displaystyle =D_x[e^{1/x^2}]+D_x[e^{-x^2}]$

Now, recall that $\displaystyle D_x[e^u]=e^u\cdot{D}_x[u]$.

Can yiu continue?