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Beliebt Rechnen >

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

Lösung

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

Lösung

2 sin (2 y - 2 x)

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Kettenregel an:

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

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

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

= - sin (2 y - 2 x) (- 2)

Vereinfache

= 2 sin (2 y - 2 x)

Beliebte Beispiele

integral of (3x^2-2x+1)(x^3-x^2+x)^4

\int (3 x^{2} - 2 x + 1) (x^{3} - x^{2} + x)^{4} d x

limit as x approaches 3 of x^2+7x-5

x \to 3 lim (x^{2} + 7 x - 5)

derivative of x^2cos(y)

\frac{d}{d x} (x^{2} cos (y))

derivative of (x^2+18(2x+15))

\frac{d}{d x} ((x^{2} + 18) (2 x + 15))

derivative y=x^3(9-x^2)

d er i v a t i v e y = x^{3} (9 - x^{2})