(\partial)/(\partial x)(4+x+x^2y)

Lösung

\frac{\partial}{\partial x} (4 + x + x^{2} y)

2 x y + 1

Schritte zur Lösung

\frac{\partial}{\partial x} (4 + x + x^{2} y)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (4) + \frac{\partial}{\partial x} (x) + \frac{\partial}{\partial x} (x^{2} y)

\frac{\partial}{\partial x} (4) = 0

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

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

= 0 + 1 + 2 y x

Vereinfache

= 2 x y + 1

x \to 0 lim (\frac{4}{x})

l a pl a ce t r an s f or m e^{- 3 s}

\int \frac{1}{( x + 1 ) ^{2} ( x - 5 )} d x

\frac{d}{d x} (x sin (\frac{2}{x}))

\frac{\partial}{\partial t} (t e^{s t})