AM-2220

Differentiating standard functions

A Math · Secondary 4 · Medium · Differentiating standard functions

The function is defined by

f(x) = (3x - x^2)e^x

. Using differentiation, for which values of

x

is

f(x)

an increasing function?

$\dfrac{1-\sqrt{13}}{2} < x < \dfrac{1+\sqrt{13}}{2}$
$x < \dfrac{1-\sqrt{13}}{2}$ or $x > \dfrac{1+\sqrt{13}}{2}$
$x \le \dfrac{1-\sqrt{13}}{2}$
all real $x$

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