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Application Of Derivatives

JEE Main 2024 (Online) 29th January Morning Shift

INTEGER+4 / -12024

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 ___________.

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