de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(dy)/(dx)=(e^x+7)^2

Lösung

\frac{d y}{d x} = (e^{x} + 7)^{2}

Lösung

y = \frac{1}{2} e^{2 x} + 14 e^{x} + 49 x + c_{1}

Schritte zur Lösung

\frac{d y}{d x} = (e^{x} + 7)^{2}

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

y^{^{'}} (x) = (e^{x} + 7)^{2}

Wenn

f^{^{'}} (x) = g (x)

dann

f (x) = \int g (x) d x

y = \int (e^{x} + 7)^{2} d x

\int (e^{x} + 7)^{2} d x = \frac{1}{2} e^{2 x} + 14 e^{x} + 49 x + c_{1}

y = \frac{1}{2} e^{2 x} + 14 e^{x} + 49 x + c_{1}

Graph

Beliebte Beispiele

derivative y=x^2cos(4/x)

d er i v a t i v e y = x^{2} cos (\frac{4}{x})

normal f(x)=x^4+2e^x,(0,2)

n or ma l f (x) = x^{4} + 2 e^{x}, (0, 2)

derivative (sin(x))^2

d er i v a t i v e (sin (x))^{2}

limit as x approaches 0+of-x+5

x \to 0 + lim (- x + 5)

t a y l or e^{- 3 x}