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\title{Tangente (function)}
\range{-5,5}
\real{a = random(-1,1)*randint(1..30)/10}
\real{b = randint(-20..20)/10}
\real{c = randint(-20..20)/10}
\function{f = \a*x^2+simplify(\b*x)+\c}
\real{x0 = randint(-40..40)/10}
\real{y0 = evalue(\f,x = \x0)}
\function{df = diff(\f,x)}
\real{df0 = evalue(\df,x = \x0)}
\function{D = \df0*x-simplify(\df0*\x0-\y0)}
\statement{ Donner l'équation de la tangente à la courbe d'équation
\(y = \f\) au point (\x0, \y0).
<div class="wimscenter">\( y = \) \embed{reply1}</div>
}
\answer{y=}{\D,x}{type=function}