taylor x,1

Lösung

taylor

x, 1

1 + (x - 1)

Schritte zur Lösung

Apply the Taylor Formula

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

Evaluate Derivatives

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

Fasse zusammen

= 1 + (x - 1)

\int_{7}^{11} \frac{2}{x ^{3}} d x

\frac{\partial}{\partial y} ((9 x - 4 y) (12 x + 2 y))

d er i v a t i v e 8 a^{6} - 14 a^{3} - 15

\int_{1}^{3} \frac{x + 1}{x ( x ^{2} + 1 )} d x

t an g e n t f (x) = 2 x^{2} - x^{4}, (1, 1)