(\partial}{\partial x}(\frac{(x-q))/y*q)

Lösung

\frac{\partial}{\partial x} (\frac{( x - q )}{y} \cdot q)

\frac{q}{y}

Schritte zur Lösung

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

Behandle

q, y

als Konstanten

Entferne die Konstante:

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

= \frac{1}{y} q \frac{\partial}{\partial x} (x - q)

Wende die Summen-/Differenzregel an:

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

= \frac{1}{y} q (\frac{\partial}{\partial x} (x) - \frac{\partial}{\partial x} (q))

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

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

= \frac{1}{y} q (1 - 0)

Vereinfache

\frac{1}{y} q (1 - 0) : \frac{q}{y}

= \frac{q}{y}

\int_{1}^{16} x d x

in v erse l a pl a ce \frac{s}{s + 1.3}

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

d er i v a t i v e f (z) = e^{\frac{z}{z - 1}}

\frac{d}{d x} (5 (x^{3} - 4 x)^{- 3})