Level:
Project ID:
1003018708
Accepted:
1
Given the function \( F(x)= 5\,\mathrm{e}^x+2\sqrt x \), find the function \( f \) such that \( F \) is primitive to \( f \) on \( (0;\infty) \).
\( f(x)=5\,\mathrm{e}^x+\frac{\sqrt x}x \)
\( f(x)=5\,\mathrm{e}^x+\sqrt x \)
\( f(x)=\mathrm{e}^x+\frac{\sqrt x}x \)
\( f(x)=5\,\mathrm{e}^x-\frac{\sqrt x}x \)