(\partial)/(\partial x)(2x+3y-4)

Lösung

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

2

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

\frac{\partial}{\partial x} (4) = 0

= 2 + 0 - 0

Vereinfache

= 2

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

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

144 y^{^{'''}} + 168 y^{^{''}} + 49 y^{^{'}} = 0

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

\frac{d}{d x} (\frac{3}{x + 5})