The function f(x) = $x e^{x}$ is strictly increasing in the interval

(–3, 0)

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(0, ∞)

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(–1, ∞)

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Solution

The correct option is C
(–1, ∞)

$f^{'} (x) > 0 \Rightarrow (x + 1) e^{x} > 0 \Rightarrow x + 1 > 0 \Rightarrow x > - 1$

$\Rightarrow x ϵ (- 1, \infty)$

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