(\partial)/(\partial x)(((5x+3))/(y-2))

Lösung

\frac{\partial}{\partial x} (\frac{( 5 x + 3 )}{y - 2})

\frac{5}{y - 2}

Schritte zur Lösung

\frac{\partial}{\partial x} (\frac{( 5 x + 3 )}{y - 2})

Behandle

y

als Konstante

Entferne die Konstante:

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

= \frac{1}{y - 2} \frac{\partial}{\partial x} (5 x + 3)

Wende die Summen-/Differenzregel an:

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

= \frac{1}{y - 2} (\frac{\partial}{\partial x} (5 x) + \frac{\partial}{\partial x} (3))

\frac{\partial}{\partial x} (5 x) = 5

\frac{\partial}{\partial x} (3) = 0

= \frac{1}{y - 2} (5 + 0)

Vereinfache

\frac{1}{y - 2} (5 + 0) : \frac{5}{y - 2}

= \frac{5}{y - 2}

\int 20

\frac{d}{d x} (sin (x + 3))

f (x) = ln (x - 2)

x \to 2 + lim (\frac{1}{3 x - 6})

\int \frac{( x - 3 )}{( 3 x - 2 ) ^{2}} d x