1. f ' (x) = (x) ' · e^x + x · (e^x )' =e^x · ( 1 + x)
2. monotonia = radacinile derivatei
= TABEL , studiu de semn derivata intai
f '(x ) =0 ⇒ 1 +x =0 rad. x = -1
x - ∞ -1 +∞
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f ' - - 0 + +
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f monoton descr. monoton crescatoare
x = -1 punct de minim
3. ec. tg y - f(x₀ ) = f ' (x₀ ) ·( x - x₀ ) cu x₀=0
f( 0 ) = 0
f ' ( 0 ) = 1
ec. tg . y = 1·( x - 0 )
y = x
