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Beliebt Rechnen >

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

Lösung

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

Lösung

y^{2}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= y^{2} + 0

Vereinfache

= y^{2}

Beliebte Beispiele

(dy)/(dx)+y^3x+5y=0

\frac{d y}{d x} + y^{3} x + 5 y = 0

6x((dy)/(dx))=2xe^x-6y+6x^2

6 x (\frac{d y}{d x}) = 2 x e^{x} - 6 y + 6 x^{2}

integral of (sin(6e^{-5x}))/(e^{5x)}

\int \frac{sin ( 6 e ^{- 5 x} )}{e ^{5 x}} d x

sum from n=1 to infinity of n^4(1+n^5)^2

n = 1 \sum \infty n^{4} (1 + n^{5})^{2}

derivative f(x)= 3/(x+3)

d er i v a t i v e f (x) = \frac{3}{x + 3}