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Beliebt Rechnen >

(\partial)/(\partial x)(2x^2+4y^2+1)

Lösung

\frac{\partial}{\partial x} (2 x^{2} + 4 y^{2} + 1)

Lösung

4 x

Schritte zur Lösung

\frac{\partial}{\partial x} (2 x^{2} + 4 y^{2} + 1)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (2 x^{2}) + \frac{\partial}{\partial x} (4 y^{2}) + \frac{\partial}{\partial x} (1)

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

\frac{\partial}{\partial x} (4 y^{2}) = 0

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

= 4 x + 0 + 0

Vereinfache

= 4 x

Beliebte Beispiele

derivative of 2^{x^3+3x}

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

tan (t) y^{^{'}} - y = 1

integral of x^2sqrt(x^2-9)

\int x^{2} x^{2} - 9 d x

y^{''}+4y=10x(4-x),y(0)=-5,y(4)=10

y^{^{''}} + 4 y = 10 x (4 - x), y (0) = - 5, y (4) = 10

\frac{d}{d t} (t^{3} + 3 t)