taylor 9.8-y/5

Lösung

taylor

9.8 - \frac{y}{5}

9.8 - 0.2 y

Schritte zur Lösung

Apply the Taylor Formula

= 9.8 + \frac{\frac{d}{d y} ( 9.8 - \frac{y}{5} ) ( 0 )}{1 !} y + \frac{\frac{d ^{2}}{d y ^{2}} ( 9.8 - \frac{y}{5} ) ( 0 )}{2 !} y^{2} + \frac{\frac{d ^{3}}{d y ^{3}} ( 9.8 - \frac{y}{5} ) ( 0 )}{3 !} y^{3} + \dots

Evaluate Derivatives

= 9.8 + \frac{- 0.2}{1 !} y + \frac{0}{2 !} y^{2} + \frac{0}{3 !} y^{3} + \frac{0}{4 !} y^{4} + \frac{0}{5 !} y^{5} + \frac{0}{6 !} y^{6} + \frac{0}{7 !} y^{7} + \frac{0}{8 !} y^{8} + \frac{0}{9 !} y^{9} + \frac{0}{10 !} y^{10}

Fasse zusammen

= 9.8 - 0.2 y

y^{^{''}} + 4 y^{^{'}} + 4 = 0

\frac{\partial}{\partial x} (3 e^{x})

d er i v a t i v e f (2) = 11 x^{2} + 5 x

t an g e n t f (x) = x^{2} - x^{4}, (1, 0)

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