Let f(x)=2^x-x^2, x ∈ R. If m and n are respectively the number of points at which the curves y=f(x) and y=f^′(x) intersect the x -axis, then the…

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