(\partial)/(\partial x)(sin(2x)cos(8y))

Lösung

\frac{\partial}{\partial x} (sin (2 x) cos (8 y))

cos (8 y) cos (2 x) \cdot 2

Schritte zur Lösung

\frac{\partial}{\partial x} (sin (2 x) cos (8 y))

Behandle

y

als Konstante

Entferne die Konstante:

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

= cos (8 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

= cos (8 y) cos (2 x) \cdot 2

\frac{d ^{2}}{d x ^{2}} (x^{2} + 21)

\int_{0}^{3} (2 x - x^{2})^{4} (1 - x) d x

\frac{\partial}{\partial x} (2 x y - 18 x)

d er i v a t i v e \frac{3 x}{x ^{2} + 1}

\frac{d}{d x} (- x^{3} + 2 x + 7)