Functions Question 7

Question 7 - 2024 (29 Jan Shift 1)

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

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Answer (5)

Solution

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$\therefore \mathrm{n}=2$

$\Rightarrow \mathrm{m}+\mathrm{n}=5$