Určete Taylorův polynom druhého stupně funkce
f(x)=\cos(5x+\frac{\pi}{2})-2. se středem v bodě a=-\frac{\pi}{6} .

Question

Určete Taylorův polynom druhého stupně funkce
  f(x)=\cos(5x+\frac{\pi}{2})-2.  se středem v bodě   a=-\frac{\pi}{6} .

Answer

\frac{-3}{2}+\frac{\sqrt 3}{2}(x+\frac{\pi}{6})+\frac{1}{4}(x+\frac{\pi}{6})^2

Answer

\frac{-3}{2}+\frac{5\sqrt 3}{2}(x+\frac{\pi}{6})+\frac{25}{2}(x+\frac{\pi}{6})^2

Answer

\frac{-3}{2}+\frac{5\sqrt 3}{2}(x+\frac{\pi}{6})+\frac{25}{4}(x+\frac{\pi}{6})^2

Answer

\frac{-3}{2}+\frac{5\sqrt 3}{2}(x-\frac{\pi}{6})+\frac{25}{2}(x-\frac{\pi}{6})^2

Answer

\frac{-3}{2}+\frac{5\sqrt 3}{2}(x+\frac{\pi}{6})-\frac{25}{4}(x+\frac{\pi}{6})^2

Answer

\frac{-3}{2}+\frac{5\sqrt 3}{2}(x+\frac{\pi}{6})-\frac{25}{2}(x+\frac{\pi}{6})^2

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