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Beliebt Rechnen >

maclaurin e^θ

Lösung

maclaurin

e^{θ}

Lösung

Schritte zur Lösung

Apply the Maclaurin Formula

= 1 + \frac{\frac{d}{d θ} ( e ^{θ} ) ( 0 )}{1 !} θ + \frac{\frac{d ^{2}}{d θ ^{2}} ( e ^{θ} ) ( 0 )}{2 !} θ^{2} + \frac{\frac{d ^{3}}{d θ ^{3}} ( e ^{θ} ) ( 0 )}{3 !} θ^{3} + \dots

Evaluate Derivatives

= 1 + \frac{1}{1 !} θ + \frac{1}{2 !} θ^{2} + \frac{1}{3 !} θ^{3} + \frac{1}{4 !} θ^{4} + \dots

Die Reihensummen Darstellung

= n = 0 \sum \infty \frac{x ^{n}}{n !}

Beliebte Beispiele

derivative of cot(pix)

\frac{d}{d x} (cot (π) x)

integral of (x^2)/(\sqrt[3]{(x^3+1)^5)}

\int \frac{x ^{2}}{3 ( x ^{3} + 1 ) ^{5}} d x

f (x) = 3 e^{3 x}

integral of (sin(2x))/(3+cos(2x))

\int \frac{sin ( 2 x )}{3 + cos ( 2 x )} d x

laplacetransform 1+6t

l a pl a ce t r an s f or m 1 + 6 t