Functions Question 7

Question 7 - 2024 (29 Jan Shift 1)

Let $f(x)=2^{x}-x^{2}, x \in R$. If $m$ and $n$ 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

$\therefore n=2$

$\Rightarrow m+n=5$