(\partial)/(\partial x)(7x^2y+5xy^3)

Lösung

\frac{\partial}{\partial x} (7 x^{2} y + 5 x y^{3})

14 y x + 5 y^{3}

Schritte zur Lösung

\frac{\partial}{\partial x} (7 x^{2} y + 5 x y^{3})

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (7 x^{2} y) + \frac{\partial}{\partial x} (5 x y^{3})

\frac{\partial}{\partial x} (7 x^{2} y) = 14 y x

\frac{\partial}{\partial x} (5 x y^{3}) = 5 y^{3}

= 14 y x + 5 y^{3}

n = 1 \sum \infty (\frac{n}{n + 1})^{2}

a re a x e^{- 0.2 x}, y = 0, x = 1

x \to 0 lim (e^{π (2 + 1)})

\int tan^{5} (2 x) sec^{2} (2 x) d x

d er i v a t i v e \frac{4}{1 - 2 x ^{3}}