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Beliebt Rechnen >

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

Lösung

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

Lösung

\frac{1}{2 y}

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial y} (2 x) = 0

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

= 0 + \frac{1}{2 y}

Vereinfache

= \frac{1}{2 y}

Beliebte Beispiele

integral of 2x(4x^2-10)^2

\int 2 x (4 x^{2} - 10)^{2} d x

derivative f(x)=-3x^2+5x+2

d er i v a t i v e f (x) = - 3 x^{2} + 5 x + 2

integral of 4/((x^2-4))

\int \frac{4}{( x ^{2} - 4 )} d x

xy^'-y=2x^2+2x+2

x y^{^{'}} - y = 2 x^{2} + 2 x + 2

derivative of x+e^x

\frac{d}{d x} (x + e^{x})