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Beliebt Rechnen >

(\partial)/(\partial x)(8sin(xy))

Lösung

\frac{\partial}{\partial x} (8 sin (x y))

Lösung

8 cos (x y) y

Schritte zur Lösung

\frac{\partial}{\partial x} (8 sin (x y))

Behandle

y

als Konstante

Entferne die Konstante:

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

= 8 \frac{\partial}{\partial x} (sin (x y))

Wende die Kettenregel an:

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

= cos (x y) \frac{\partial}{\partial x} (x y)

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

= 8 cos (x y) y

Beliebte Beispiele

d/(dy)(1/(4y^2))

\frac{d}{d y} (\frac{1}{4 y ^{2}})

(\partial)/(\partial y)((3xy)/(x^2+y^2))

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

2y(dy)/(dx)=x(y^2+1)

2 y \frac{d y}{d x} = x (y^{2} + 1)

cos(x)dy+(ysin(x)-cos^4(x))dx=0

cos (x) d y + (y sin (x) - cos^{4} (x)) d x = 0

tangent f(x)=x+2sin(x)

t an g e n t f (x) = x + 2 sin (x)