de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of sqrt(x+e^x)

Lösung

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

Lösung

\frac{1 + e ^{x}}{2 x + e ^{x}}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

= \frac{1}{2 x + e ^{x}} \frac{d}{d x} (x + e^{x})

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

= \frac{1}{2 x + e ^{x}} (1 + e^{x})

Vereinfache

\frac{1}{2 x + e ^{x}} (1 + e^{x}) : \frac{1 + e ^{x}}{2 x + e ^{x}}

= \frac{1 + e ^{x}}{2 x + e ^{x}}

Graph

Beliebte Beispiele

derivative tan^3(1+2x^2)

d er i v a t i v e tan^{3} (1 + 2 x^{2})

derivative x(3x-9)^3

d er i v a t i v e x (3 x - 9)^{3}

integral of (x^2)/(sqrt(a^2+x^2))

\int \frac{x ^{2}}{a ^{2} + x ^{2}} d x

integral of (sin(x^3))

\int (sin (x^{3})) d x

y^'(x)=((1+3x^2))/(3y^2-6y),y(0)=1

y^{^{'}} (x) = \frac{( 1 + 3 x ^{2} )}{3 y ^{2} - 6 y}, y (0) = 1