Let \( f(x)=e^{(p+1) x}-e^{x} \) for real number \( p0 \), then The value of \( x=s_{p} \) for w...

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Let \( f(x)=e^{(p+1) x}-e^{x} \) for real number \( p0 \), then The value of \( x=s_{p} \) for which \( f(x) \) is minimum, is
(a) \( \frac{-\log _{e}(p+1)}{p} \)
(b) \( -\log _{e}(p+1) \)
(c) \( -\log _{e} p \)
(d) \( \log _{e}\left(\frac{p+1}{p}\right) \)
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