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Beliebt Rechnen >

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

Lösung

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

Lösung

8 x^{3} y

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial y} (4 x^{3} y^{2}) = 8 x^{3} y

\frac{\partial}{\partial y} (4) = 0

= 8 x^{3} y + 0

Vereinfache

= 8 x^{3} y

Beliebte Beispiele

integral of (x^2)/5

\int \frac{x ^{2}}{5} d x

limit as x approaches 0 of xcot((pix)/2)

x \to 0 lim (x cot (\frac{π x}{2}))

integral of (5+x^8)^48x^7

\int (5 + x^{8})^{4} 8 x^{7} d x

(dy)/(dx)+y=e^{-x}

\frac{d y}{d x} + y = e^{- x}

tangent y=3x^3-3x,(1,0)

t an g e n t y = 3 x^{3} - 3 x, (1, 0)