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Beliebt Rechnen >

maclaurin 9e^{(-4x)}

Lösung

maclaurin

9 e^{(- 4 x)}

Lösung

9 - 36 x + 72 x^{2} - 96 x^{3} + 96 x^{4} + \dots

Schritte zur Lösung

Apply the Maclaurin Formula

= 9 + \frac{\frac{d}{d x} ( 9 e ^{- 4 x} ) ( 0 )}{1 !} x + \frac{\frac{d ^{2}}{d x ^{2}} ( 9 e ^{- 4 x} ) ( 0 )}{2 !} x^{2} + \frac{\frac{d ^{3}}{d x ^{3}} ( 9 e ^{- 4 x} ) ( 0 )}{3 !} x^{3} + \dots

Evaluate Derivatives

= 9 + \frac{- 36}{1 !} x + \frac{144}{2 !} x^{2} + \frac{- 576}{3 !} x^{3} + \frac{2304}{4 !} x^{4} + \dots

Fasse zusammen

= 9 - 36 x + 72 x^{2} - 96 x^{3} + 96 x^{4} + \dots

Beliebte Beispiele

integral from 0 to 1 of 6/(4y-1)

\int_{0}^{1} \frac{6}{4 y - 1} d y

integral of 2x+y

\int 2 x + y d x

y^'=(1+x)/(xy^{12)}

y^{^{'}} = \frac{1 + x}{x y ^{12}}

fläche f(x)=x^3,g(x)=4x

a re a f (x) = x^{3}, g (x) = 4 x

limit as x approaches 2 of x/(x^2-x-2)

x \to 2 lim (\frac{x}{x ^{2} - x - 2})