(\partial)/(\partial p)(sqrt(pq))

Lösung

\frac{\partial}{\partial p} (pq)

\frac{q}{2 p}

Schritte zur Lösung

\frac{\partial}{\partial p} (pq)

Behandle

q

als Konstante

Wende die Kettenregel an:

\frac{1}{2 pq} \frac{\partial}{\partial p} (pq)

= \frac{1}{2 pq} \frac{\partial}{\partial p} (pq)

\frac{\partial}{\partial p} (pq) = q

= \frac{1}{2 pq} q

Vereinfache

\frac{1}{2 pq} q : \frac{q}{2 p}

= \frac{q}{2 p}

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

\frac{\partial}{\partial x} (4 x^{3} + 4 y^{2} x + 4 x)

\int \frac{t}{t ^{4} + 2} d t

in v erse l a pl a ce \frac{- 4 s + 8}{s ^{2} + 6 s + 8}

\frac{\partial}{\partial t} (e^{- 4 t} cos (π x))