de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(\partial)/(\partial y)(x^2+xe^{2y})

Lösung

\frac{\partial}{\partial y} (x^{2} + x e^{2 y})

Lösung

2 e^{2 y} x

Schritte zur Lösung

\frac{\partial}{\partial y} (x^{2} + x e^{2 y})

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{\partial}{\partial y} (x^{2}) = 0

\frac{\partial}{\partial y} (x e^{2 y}) = x e^{2 y} \cdot 2

= 0 + x e^{2 y} \cdot 2

Vereinfache

= 2 e^{2 y} x

Beliebte Beispiele

y^{^{'}} + y = 2 e^{x}

integral of (ln(4x))/(2x)

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

integral from 1 to 4 of 7(ln(x))/(x^2)

\int_{1}^{4} 7 \frac{ln ( x )}{x ^{2}} d x

integral of 1/(x+8)

\int \frac{1}{x + 8} d x

integral from 0 to 1 of (2x)/((x^2+5)^2)

\int_{0}^{1} \frac{2 x}{( x ^{2} + 5 ) ^{2}} d x