f(x) = a*(x-0,5)*(x-6,5)
S(3,5|4,5)
f(3,5) = a*(3,5-0,5)*(3,5-6,5)= a*(3)*(-3)= -9 a
-9 a=4,5|:(-9)
a= - \( \frac{1}{2} \)
f(x) = - \( \frac{1}{2} \)*(x-0,5)*(x-6,5)= - \( \frac{1}{2} \)*(x^2-7x+3,25)
f´(x)= - \( \frac{1}{2} \)*(2x-7)
f´(0,5)= - \( \frac{1}{2} \)*(2*0,5-7)=- \( \frac{1}{2} \)*(-6)=3
f´(6,5)= - \( \frac{1}{2} \)*(2*6,5-7)=- \( \frac{1}{2} \)*(6)=-3
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