(\partial)/(\partial x)(xy^3+2xy)

Lösung

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

y^{3} + 2 y

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= y^{3} + 2 y

x \to \infty lim (tan (\frac{2 x π}{1 + 8 x}))

\int \frac{1}{36 x ^{2} - 49} d x

\frac{d}{d x} (\frac{4 x}{( x ^{2} + 2 ) ^{2}})

x \to 0 + lim (x^{s i n (2 x)})

\frac{d}{d x} (sin (2 x) cos (3 x))