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Beliebt Rechnen >

(\partial)/(\partial x)(2x+5y+3)

Lösung

\frac{\partial}{\partial x} (2 x + 5 y + 3)

Lösung

2

Schritte zur Lösung

\frac{\partial}{\partial x} (2 x + 5 y + 3)

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} (5 y) + \frac{\partial}{\partial x} (3)

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

\frac{\partial}{\partial x} (5 y) = 0

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

= 2 + 0 + 0

Vereinfache

= 2

Beliebte Beispiele

(y+1)(dy)/(dx)=2x

(y + 1) \frac{d y}{d x} = 2 x

fläche x^3,x^5

a re a x^{3}, x^{5}

integral from 2 to 5 of (1-x^2)-(11-7x)

\int_{2}^{5} (1 - x^{2}) - (11 - 7 x) d x

integral of 1/(x^{3/4)}

\int \frac{1}{x ^{\frac{3}{4}}} d x

limit as x approaches 0 of 2^{1/2}

x \to 0 lim (2^{\frac{1}{2}})