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Beliebt Rechnen >

(\partial)/(\partial x)(2sin(2x)cos(2y))

Lösung

\frac{\partial}{\partial x} (2 sin (2 x) cos (2 y))

Lösung

4 cos (2 x) cos (2 y)

Schritte zur Lösung

\frac{\partial}{\partial x} (2 sin (2 x) cos (2 y))

Behandle

y

als Konstante

Entferne die Konstante:

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

= 2 cos (2 y) \frac{\partial}{\partial x} (sin (2 x))

Wende die Kettenregel an:

cos (2 x) \frac{\partial}{\partial x} (2 x)

= cos (2 x) \frac{\partial}{\partial x} (2 x)

\frac{\partial}{\partial x} (2 x) = 2

= 2 cos (2 y) cos (2 x) \cdot 2

Vereinfache

= 4 cos (2 x) cos (2 y)

Beliebte Beispiele

(\partial)/(\partial x)(1/(x+1))

\frac{\partial}{\partial x} (\frac{1}{x + 1})

derivative 2(sqrt(x))+1

d er i v a t i v e 2 (x) + 1

fläche-7x^2+63,-x^2+9

a re a - 7 x^{2} + 63, - x^{2} + 9

limit as x approaches-1 of (1-x^2)/(x+1)

x \to - 1 lim (\frac{1 - x ^{2}}{x + 1})

derivative f(x)=x^{1/5}

d er i v a t i v e f (x) = x^{\frac{1}{5}}