(\partial)/(\partial x)(2+x+ye^y)

Lösung

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

1

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

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

= 0 + 1 + 0

Vereinfache

= 1

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

x \to 0 lim (x + \frac{1}{x})

s l o p e y = ln (x^{3}) x = 12

t an g e n t y = (\frac{x + 2}{x - 2})^{2}, (6, 4)

\int_{0}^{\frac{π}{2}} sin (2 t) d t