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Beliebt Rechnen >

(\partial)/(\partial x)(2sqrt(x)+4y)

Lösung

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

Lösung

\frac{1}{x}

Schritte zur Lösung

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

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} (4 y)

\frac{\partial}{\partial x} (2 x) = \frac{1}{x}

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

= \frac{1}{x} + 0

Vereinfache

= \frac{1}{x}

Beliebte Beispiele

y^'-(2y)/x =x^2

y^{^{'}} - \frac{2 y}{x} = x^{2}

fläche y=7e^x,y=7e^{-x},x=1

a re a y = 7 e^{x}, y = 7 e^{- x}, x = 1

y^{^{'}} = e^{4 x + 3 y}

sum from n=0 to infinity of 3^n

n = 0 \sum \infty 3^{n}

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

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