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Beliebt Rechnen >

(\partial)/(\partial x)(sqrt(p(q,x)q))

Lösung

\frac{\partial}{\partial x} (p (q, x) q)

Lösung

\frac{1}{2 p ( q , x ) q} pq (q, 1)

Schritte zur Lösung

\frac{\partial}{\partial x} (p (q, x) q)

Behandle

p, q

als Konstante

Wende die Kettenregel an:

\frac{1}{2 p ( q , x ) q} \frac{\partial}{\partial x} (p (q, x) q)

= \frac{1}{2 p ( q , x ) q} \frac{\partial}{\partial x} (p (q, x) q)

\frac{\partial}{\partial x} (p (q, x) q) = pq (q, 1)

= \frac{1}{2 p ( q , x ) q} pq (q, 1)

Beliebte Beispiele

derivative of x(2x+3^4)

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

integral of 1/x x'

\int \frac{1}{x} x^{'} d x

derivative of sin(x/(1+y))

\frac{d}{d x} (sin (\frac{x}{1 + y}))

derivative of 5picos(pix)

\frac{d}{d x} (5 π cos (π x))

integral from-2 to 3 of (38)/(x^4)

\int_{- 2}^{3} \frac{38}{x ^{4}} d x