(\partial)/(\partial y)(x^4y^3+8x^2y)

Lösung

\frac{\partial}{\partial y} (x^{4} y^{3} + 8 x^{2} y)

3 x^{4} y^{2} + 8 x^{2}

Schritte zur Lösung

\frac{\partial}{\partial y} (x^{4} y^{3} + 8 x^{2} y)

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial y} (x^{4} y^{3}) + \frac{\partial}{\partial y} (8 x^{2} y)

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

\frac{\partial}{\partial y} (8 x^{2} y) = 8 x^{2}

= 3 x^{4} y^{2} + 8 x^{2}

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

x \to 3 - lim (\frac{1}{∣ x - 3 ∣})

\int_{0}^{9} x d x

\frac{d}{d x} f (x) = (4 x^{(4)} + 6)^{(3)}

s l o p e g (x) = 5 x^{2} - x + 7