d/(d{x)}({z}+{y}^3+{y}+{x})

Lösung

\frac{d}{d x} (z + y^{3} + y + x)

\frac{d}{d x} (z) + \frac{d}{d x} (y) + 1

Schritte zur Lösung

\frac{d}{d x} (z + y^{3} + y + x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (z) + \frac{d}{d x} (y^{3}) + \frac{d}{d x} (y) + \frac{d}{d x} (x)

\frac{d}{d x} (y^{3}) = 0

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

= \frac{d}{d x} (z) + 0 + \frac{d}{d x} (y) + 1

Vereinfache

= \frac{d}{d x} (z) + \frac{d}{d x} (y) + 1

x \to - 2 lim (x^{2} - 4 x + 10)

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

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

x^{^{'}} = 2 (x + 1)

\frac{d}{d x} (7 x^{2} sin (x) tan (x))