(\partial)/(\partial x)(x^2+y^3+w^4)

Lösung

\frac{\partial}{\partial x} (x^{2} + y^{3} + w^{4})

2 x

Schritte zur Lösung

\frac{\partial}{\partial x} (x^{2} + y^{3} + w^{4})

Behandle

y, w

als Konstanten

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (x^{2}) + \frac{\partial}{\partial x} (y^{3}) + \frac{\partial}{\partial x} (w^{4})

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

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

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

= 2 x + 0 + 0

Vereinfache

= 2 x

a re a y = ∣ 3 x ∣, y = x^{2} - 4

\int \frac{1}{1 - 4 x} d x

x \to - 1 lim (\frac{x ^{2} + 5}{x + 6})

d er i v a t i v e (2 x + 3)^{1.4}

d er i v a t i v e (2 x^{2} + 1) (x - 3)^{2}