de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(\partial)/(\partial x)(x+sqrt(x)sqrt(y))

Lösung

\frac{\partial}{\partial x} (x + x y)

Lösung

1 + \frac{y}{2 x}

Schritte zur Lösung

\frac{\partial}{\partial x} (x + x y)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (x) + \frac{\partial}{\partial x} (x y)

\frac{\partial}{\partial x} (x) = 1

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

= 1 + \frac{y}{2 x}

Beliebte Beispiele

derivative of (2x^{3/2}-x^2+4/x)

\frac{d}{d x} (\frac{2 x ^{\frac{3}{2}} - x ^{2} + 4}{x})

derivative of 1/(x^7+2/(x^3))

\frac{d}{d x} (\frac{1}{x ^{7}} + \frac{2}{x ^{3}})

integral from-1 to 1 of 2-2x^2

\int_{- 1}^{1} 2 - 2 x^{2} d x

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

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

f(x)=arcsin(x^2)

f (x) = arcsin (x^{2})