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Beliebt Rechnen >

(\partial)/(\partial x)((x+2)/(y+1))

Lösung

\frac{\partial}{\partial x} (\frac{x + 2}{y + 1})

Lösung

\frac{1}{y + 1}

Schritte zur Lösung

\frac{\partial}{\partial x} (\frac{x + 2}{y + 1})

Behandle

y

als Konstante

Entferne die Konstante:

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

= \frac{1}{y + 1} \frac{\partial}{\partial x} (x + 2)

Wende die Summen-/Differenzregel an:

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

= \frac{1}{y + 1} (\frac{\partial}{\partial x} (x) + \frac{\partial}{\partial x} (2))

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

\frac{\partial}{\partial x} (2) = 0

= \frac{1}{y + 1} (1 + 0)

Vereinfache

= \frac{1}{y + 1}

Beliebte Beispiele

derivative of xe^{9x}

\frac{d}{d x} (x e^{9 x})

derivative of 3/4 x^{4/3}-3/8 x^{2/3}+9

\frac{d}{d x} (\frac{3}{4} x^{\frac{4}{3}} - \frac{3}{8} x^{\frac{2}{3}} + 9)

integral of ((a^x-b^x)^2)/(a^xb^x)

\int \frac{( a ^{x} - b ^{x} ) ^{2}}{a ^{x} b ^{x}} d x

(dy)/(dx)=e^{7x-7y}

\frac{d y}{d x} = e^{7 x - 7 y}

(\partial)/(\partial z)(2z)

\frac{\partial}{\partial z} (2 z)