# What are the local extrema of f(x)= 1/sqrt(x^2+e^x)-xe^x?

Jan 31, 2017

By graphical method, local maximum is 1.365, nearly, at the turning point (-0.555, 1.364), nearly. The curve has an asymptote $y = 0 \leftarrow$, the x-axis.
As indicated in the graph, it can be proved that, as $x \to - \infty , y \to 0 \mathmr{and} , a s$x to oo, y to -oo#.