Level:
Project ID:
1003230201
Accepted:
1
Given the function \( f(x)=x\cdot\,\mathrm{e}^x \), find the set of all \( x \), \( x\in\mathbb{R} \), for which \( f'(x)=0 \).
\( \{-1\} \)
\( \{-1;0\} \)
\( \{0;1\} \)
\( \emptyset \)
\( \{0\} \)
\( \{1\} \)