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)(cos(y^2)+ye^x)

Lösung

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

Lösung

e^{x} y

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= 0 + y e^{x}

Vereinfache

= e^{x} y

Beliebte Beispiele

integral of 1/(x^2+6x+6)

\int \frac{1}{x ^{2} + 6 x + 6} d x

(dy)/(dx)+2xy=x^3

\frac{d y}{d x} + 2 x y = x^{3}

(\partial)/(\partial y)((-y)/(x^2+9y^2))

\frac{\partial}{\partial y} (\frac{- y}{x ^{2} + 9 y ^{2}})

integral from-2 to 3 of (40)/(x^4)

\int_{- 2}^{3} \frac{40}{x ^{4}} d x

derivative y=sqrt(x+3)

d er i v a t i v e y = x + 3