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Applied Mathematics · 2023 · 1 mark
CBSE 2023 · Central · Set 4 · Q19
Assertion (A): The function f ( x )=( x +2) e^- x is increasing in the interval (-1, ∞). Reason (R): A function f(x) is increasing, if f^′( x )>0.
Assertion (A): The function $\displaystyle \mathrm{f}(\mathrm{x})=(\mathrm{x}+2) \mathrm{e}^{-\mathrm{x}}$ is increasing in the interval $\displaystyle (-1, \infty)$.
Reason (R): A function f(x) is increasing, if $\displaystyle \mathrm{f}^{\prime}(\mathrm{x})>0$.
Official answer
(D)
Assertion (A) is false and Reason (R) is true.
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