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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Beliebte Beispiele

integral of 2x(x^2+5)^4

\int 2 x (x^{2} + 5)^{4} d x

derivative f(x)=x^2(4-x)^2

d er i v a t i v e f (x) = x^{2} (4 - x)^{2}

9sqrt(xy)(dy)/(dx)=1

9 x y \frac{d y}{d x} = 1

integral of (2x^2+3x-5)sin(x)

\int (2 x^{2} + 3 x - 5) sin (x) d x

tangent f(x)=3x^3-x^2+7,\at x=2

t an g e n t f (x) = 3 x^{3} - x^{2} + 7, at x = 2