(\partial)/(\partial x)((mcT)/(wp(m,T,w,x)))

Lösung

\frac{\partial}{\partial x} (\frac{m c T}{w p ( m , T , w , x )})

- \frac{1}{p ( m , T , w , x ) ^{2}} \frac{\partial}{\partial x} (p (m, T, w, x))

Schritte zur Lösung

\frac{\partial}{\partial x} (\frac{m c T}{w p ( m , T , w , x )})

Behandle

c, m, T, w

als Konstanten

Entferne die Konstante:

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

= \frac{m c T}{w} \frac{\partial}{\partial x} (\frac{1}{p ( m , T , w , x )})

Wende Exponentenregel an:

\frac{1}{a} = a^{- 1}

= \frac{m c T}{w} \frac{\partial}{\partial x} (p (m, T, w, x)^{- 1})

Wende die Kettenregel an:

- \frac{1}{p ( m , T , w , x ) ^{2}} \frac{\partial}{\partial x} (p (m, T, w, x))

= - \frac{1}{p ( m , T , w , x ) ^{2}} \frac{\partial}{\partial x} (p (m, T, w, x))

\int_{0}^{π} π^{25} sin^{2} (x) d x

\int 1 d θ

\int_{0}^{9} 1 + x d x

n = 1 \sum \infty arctan (n^{2})

x \to \infty lim (5 \infty^{3} + \frac{1}{7})