1/(1+e^x)^2
You asked:
Evaluate the expression: \(\frac{1}{{\left( 1 + {e}^{x} \right)}^{2}}\)
MathBot Answer:
Evaluated
\(\displaystyle \frac{1}{{\left( 1 + {e}^{x} \right)}^{2}} = \frac{1}{\left(e^{x} + 1\right)^{2}} \)
Expanded
\[\frac{1}{{\left( 1 + {e}^{x} \right)}^{2}} = \frac{1}{e^{2 x} + 2 e^{x} + 1}\]
\(e\) is Euler's number, a mathematical constant that is approximately \(2.71828\).