de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

maclaurin e^x,5

Lösung

maclaurin

e^{x}, 5

Lösung

Schritte zur Lösung

Apply the Maclaurin Formula

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

Evaluate Derivatives

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

Die Reihensummen Darstellung

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

Beliebte Beispiele

limit as x approaches 3 of (|x-1|)/(x-1)

x \to 3 lim (\frac{∣ x - 1 ∣}{x - 1})

derivative of (xy^2/(x^2+y^2))

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

integral of (e^x)/((e^x+1))

\int \frac{e ^{x}}{( e ^{x} + 1 )} d x

integral of 4cos(x/2)

\int 4 cos (\frac{x}{2}) d x

7x^2+(dy)/(dx)(x^3+6)=0

7 x^{2} + \frac{d y}{d x} (x^{3} + 6) = 0