(\partial)/(\partial y)(4x^2y-5xy^2)

Lösung

\frac{\partial}{\partial y} (4 x^{2} y - 5 x y^{2})

4 x^{2} - 10 x y

Schritte zur Lösung

\frac{\partial}{\partial y} (4 x^{2} y - 5 x y^{2})

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial y} (4 x^{2} y) - \frac{\partial}{\partial y} (5 x y^{2})

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

\frac{\partial}{\partial y} (5 x y^{2}) = 10 x y

= 4 x^{2} - 10 x y

d er i v a t i v e \frac{1}{3 x + 1}

d er i v a t i v e f (x) = \frac{( x ^{2} )}{x ^{2} + 9}

\frac{d}{d y} (2 ln (3 x + 4 y))

x \to 0 lim (\frac{4 cos ( x - 4 )}{x})

\int_{0}^{1} \frac{x + 1}{x + 3} d x