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Beliebt Rechnen >

(\partial)/(\partial x)(y^2+xy+3y+2x+3)

Lösung

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

Lösung

y + 2

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

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

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

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

= 0 + y + 0 + 2 + 0

Vereinfache

= y + 2

Beliebte Beispiele

integral of 1/(5sin(x)+3)

\int \frac{1}{5 sin ( x ) + 3} d x

(\partial)/(\partial x)(x^2+y^2+3xy+15x)

\frac{\partial}{\partial x} (x^{2} + y^{2} + 3 x y + 15 x)

(\partial)/(\partial t)(e^{-t}sin(t))

\frac{\partial}{\partial t} (e^{- t} sin (t))

integral of (a^{5x}+e^{5x})

\int (a^{5 x} + e^{5 x}) d x

integral of 1/(4-y^2)

\int \frac{1}{4 - y ^{2}} d y