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Beliebt Rechnen >

(\partial)/(\partial t)(zy^2(t+1))

Lösung

\frac{\partial}{\partial t} (z y^{2} (t + 1))

Lösung

z y^{2}

Schritte zur Lösung

\frac{\partial}{\partial t} (z y^{2} (t + 1))

Behandle

z, y

als Konstanten

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= z y^{2} \frac{\partial}{\partial t} (t + 1)

Wende die Summen-/Differenzregel an:

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

= z y^{2} (\frac{\partial}{\partial t} (t) + \frac{\partial}{\partial t} (1))

\frac{\partial}{\partial t} (t) = 1

\frac{\partial}{\partial t} (1) = 0

= z y^{2} (1 + 0)

Vereinfache

= z y^{2}

Beliebte Beispiele

(dy)/(dx)=(xy^3)/(sqrt(1+x^2)),y(0)=-1

\frac{d y}{d x} = \frac{x y ^{3}}{1 + x ^{2}}, y (0) = - 1

integral of 7e^{-7x}sin(7x)

\int 7 e^{- 7 x} sin (7 x) d x

(dy}{dx}=\frac{2y)/x+x^2y^5

\frac{d y}{d x} = \frac{2 y}{x} + x^{2} y^{5}

integral from 0 to 1 of 4e^{5sqrt(x)}

\int_{0}^{1} 4 e^{5 x} d x

integral of 2-4x

\int 2 - 4 x d x