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Beliebt Rechnen >

(\partial)/(\partial x)(ln(6ye^{xy}))

Lösung

\frac{\partial}{\partial x} (ln (6 y e^{x y}))

Lösung

y

Schritte zur Lösung

\frac{\partial}{\partial x} (ln (6 y e^{x y}))

Vereinfache

ln (6 y e^{x y}) : ln (6 y) + y x

= \frac{\partial}{\partial x} (ln (6 y) + y x)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (ln (6 y)) + \frac{\partial}{\partial x} (y x)

\frac{\partial}{\partial x} (ln (6 y)) = 0

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

= 0 + y

Vereinfache

= y

Beliebte Beispiele

integral of (8+pi)

\int (8 + π) d x

derivative of (1+arccos(3x)^3)

\frac{d}{d x} ((1 + arccos (3 x))^{3})

integral of |2x|

\int ∣ 2 x ∣ d x

tangent f(x)=3x^5e^{2x}

t an g e n t f (x) = 3 x^{5} e^{2 x}

limit as x approaches 0 of 1/(x+1)-1

x \to 0 lim (\frac{1}{x + 1} - 1)