(\partial)/(\partial x)(x^2-y^2-2z^2)

Lösung

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

2 x

Schritte zur Lösung

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

Behandle

y, z

als Konstanten

Wende die Summen-/Differenzregel an:

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

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

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

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

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

= 2 x - 0 - 0

Vereinfache

= 2 x

\frac{d}{d x} (\frac{12 x ^{5} + 8 x ^{3} - 2 x ^{2}}{4 x ^{2}})

d er i v a t i v e \frac{8}{e ^{x} + e ^{- x}}

t a y l or e^{- 6 x}, 0

\int x ln (5 x) d x

x \to 2 - lim (6 - 3 x - 3)