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Beliebt Rechnen >

(\partial)/(\partial x)(sin(8x)cos(3y))

Lösung

\frac{\partial}{\partial x} (sin (8 x) cos (3 y))

Lösung

cos (3 y) cos (8 x) \cdot 8

Schritte zur Lösung

\frac{\partial}{\partial x} (sin (8 x) cos (3 y))

Behandle

y

als Konstante

Entferne die Konstante:

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

= cos (3 y) \frac{\partial}{\partial x} (sin (8 x))

Wende die Kettenregel an:

cos (8 x) \frac{\partial}{\partial x} (8 x)

= cos (8 x) \frac{\partial}{\partial x} (8 x)

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

= cos (3 y) cos (8 x) \cdot 8

Beliebte Beispiele

fläche y=x^2,y=4x

a re a y = x^{2}, y = 4 x

(d^3)/(dx^3)(xsin(x))

\frac{d ^{3}}{d x ^{3}} (x sin (x))

y^{^{'}} = \frac{( y - x )}{x}

derivative f(x)=6x^{-1}

d er i v a t i v e f (x) = 6 x^{- 1}

(dy)/(dx)=((2y+5)/(8x+9))^2

\frac{d y}{d x} = (\frac{2 y + 5}{8 x + 9})^{2}