1.Oblicz delte f(x)= 3x2+7x+1 Δ(o ile istnieje) = ?
2.Oblicz pochodną f(x)=x2/(x2-4) f'(x) = ?
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odp do zadania pierwszego
a=3
b=7
c=1
Δ=b²-4ac
Δ=7²-4*3*1
Δ=49-12
Δ=37
Δ=√37
1.
f(x) = 3x²+7x+1
3x²+7x+1 = 0
Δ = b²-4ac = 49-12 = 37
Δ = 37
2.
f(x) = x²/(x²-4)
f(x)' = [2x(x²-4)-x²·2x]/(x²-4)² = (2x³-8x-2x³)/(x²-4)² = -8x/(x²-4)²