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Beliebt Rechnen >

(\partial)/(\partial y)(x^y-xy)

Lösung

\frac{\partial}{\partial y} (x^{y} - x y)

Lösung

x^{y} ln (x) - x

Schritte zur Lösung

\frac{\partial}{\partial y} (x^{y} - x y)

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= x^{y} ln (x) - x

Beliebte Beispiele

(dy)/(dx)=2xe^y

\frac{d y}{d x} = 2 x e^{y}

derivative of (3x^{3x})

\frac{d}{d x} ((3 x)^{3 x})

integral of 1/(a+bx)

\int \frac{1}{a + b x} d x

derivative of-4cot(2xcsc(2x))

\frac{d}{d x} (- 4 cot (2 x) csc (2 x))

y^{''}+2y^'+5y=4sin(2t)

y^{^{''}} + 2 y^{^{'}} + 5 y = 4 sin (2 t)