taylor x^{11/2},1.2

Lösung

taylor

x^{\frac{11}{2}}, 1.2

2.72581 \dots + 12.49333 \dots (x - 1.2) + 23.42499 \dots (x - 1.2)^{2} + 22.77430 \dots (x - 1.2)^{3} + 11.86161 \dots (x - 1.2)^{4} + \dots

Schritte zur Lösung

Apply the Taylor Formula

= 2.72581 \dots + \frac{\frac{d}{d x} ( x ^{\frac{11}{2}} ) ( 1.2 )}{1 !} (x - 1.2) + \frac{\frac{d ^{2}}{d x ^{2}} ( x ^{\frac{11}{2}} ) ( 1.2 )}{2 !} (x - 1.2)^{2} + \frac{\frac{d ^{3}}{d x ^{3}} ( x ^{\frac{11}{2}} ) ( 1.2 )}{3 !} (x - 1.2)^{3} + \dots

Evaluate Derivatives

= 2.72581 \dots + \frac{12.49333 \dots}{1 !} (x - 1.2) + \frac{46.84999 \dots}{2 !} (x - 1.2)^{2} + \frac{136.64582 \dots}{3 !} (x - 1.2)^{3} + \frac{284.67879 \dots}{4 !} (x - 1.2)^{4} + \dots

Fasse zusammen

= 2.72581 \dots + 12.49333 \dots (x - 1.2) + 23.42499 \dots (x - 1.2)^{2} + 22.77430 \dots (x - 1.2)^{3} + 11.86161 \dots (x - 1.2)^{4} + \dots

\int \frac{1}{1 - 8 x} d x

t an g e n t f (x) = \frac{9 x}{( x + 1 ) ^{2}}, (0, 0)

\frac{d}{d x} (x ln (x + 2 y))

\frac{d}{d t} (t^{3} - t)

\frac{d y}{d x} = x x - 15