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Beliebt Rechnen >

(\partial)/(\partial y)(e^{xz}y^3-ln(x))

Lösung

\frac{\partial}{\partial y} (e^{x z} y^{3} - ln (x))

Lösung

3 e^{x z} y^{2}

Schritte zur Lösung

\frac{\partial}{\partial y} (e^{x z} y^{3} - ln (x))

Behandle

x, z

als Konstanten

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial y} (e^{x z} y^{3}) - \frac{\partial}{\partial y} (ln (x))

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

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

= 3 e^{x z} y^{2} - 0

Vereinfache

= 3 e^{x z} y^{2}

Beliebte Beispiele

integral of x(x+3)^7

x^2(dy)/(dx)=sqrt(y)(4x+3)

(\partial)/(\partial x)(-sin(xy))

integral of x/((x^2-1))

integral of 8x^2ln(x)