Need help with e for my Calculus class.

Quote:

Originally Posted by jsl

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.

$e$ is the easiest thing to work with in calculus. One day, you will be grateful when $e$ shows up, but for now, I'll help you out.

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

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

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

Can yiu continue?