taylor (x-4)^n,4

Lösung

taylor

(x - 4)^{n}, 4

\dots

Schritte zur Lösung

Apply the Taylor Formula

= 0 + \frac{\frac{d}{d x} ( ( x - 4 ) ^{n} ) ( 4 )}{1 !} (x - 4) + \frac{\frac{d ^{2}}{d x ^{2}} ( ( x - 4 ) ^{n} ) ( 4 )}{2 !} (x - 4)^{2} + \frac{\frac{d ^{3}}{d x ^{3}} ( ( x - 4 ) ^{n} ) ( 4 )}{3 !} (x - 4)^{3} + \dots

Evaluate Derivatives

= 0 + \frac{0}{1 !} (x - 4) + \frac{0}{2 !} (x - 4)^{2} + \frac{0}{3 !} (x - 4)^{3} + \frac{0}{4 !} (x - 4)^{4} + \frac{0}{5 !} (x - 4)^{5} + \frac{0}{6 !} (x - 4)^{6} + \frac{0}{7 !} (x - 4)^{7} + \frac{0}{8 !} (x - 4)^{8} + \frac{0}{9 !} (x - 4)^{9} + \frac{0}{10 !} (x - 4)^{10} + \dots

Fasse zusammen

= \dots

a re a y = cos (x), y = 1 - cos (x), 0 \leq x \leq π

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ma c l a u r in (1 + x)^{\frac{- 3}{2}}

d er i v a t i v e cos (sin (tan (3 x)))