QJEEM24Ma5f69: JEE Main 2024 Mathematics - Class 12 JEEM24Ma5f69 Solution: Let f ( x ) = 2 x − x 2 , x ∈ R . If m and n are respectively…

Let $$f(x)=2^x-x^2,x\in \mathbb{R}$$. If $$m$$ and $$n$$ are respectively the number of points at which the curves $$y=f(x)$$ and $$y=f^{\prime }(x)$$ intersect the $$x$$-axis, then the value of $$\mathrm{m}+\mathrm{n}$$ is ___________.