(\partial)/(\partial y)(1+3x+2y^2)

Lösung

\frac{\partial}{\partial y} (1 + 3 x + 2 y^{2})

4 y

Schritte zur Lösung

\frac{\partial}{\partial y} (1 + 3 x + 2 y^{2})

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial y} (1) + \frac{\partial}{\partial y} (3 x) + \frac{\partial}{\partial y} (2 y^{2})

\frac{\partial}{\partial y} (1) = 0

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

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

= 0 + 0 + 4 y

Vereinfache

= 4 y

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

d er i v a t i v e y = - 8

\frac{\partial}{\partial y} (\frac{m}{y} - 625 \frac{y}{x})

d er i v a t i v e f (x) = x^{3} (x^{2} + 4)^{- 2}

\frac{d}{d x} (1 - \frac{3}{y} + x)