(\partial)/(\partial y)(x^2z^2sin(4y))

Lösung

\frac{\partial}{\partial y} (x^{2} z^{2} sin (4 y))

x^{2} z^{2} cos (4 y) \cdot 4

Schritte zur Lösung

\frac{\partial}{\partial y} (x^{2} z^{2} sin (4 y))

Behandle

x, z

als Konstanten

Entferne die Konstante:

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

= x^{2} z^{2} \frac{\partial}{\partial y} (sin (4 y))

Wende die Kettenregel an:

cos (4 y) \frac{\partial}{\partial y} (4 y)

= cos (4 y) \frac{\partial}{\partial y} (4 y)

\frac{\partial}{\partial y} (4 y) = 4

= x^{2} z^{2} cos (4 y) \cdot 4

\int (x cos (3 x)) d x

x \to - 2 lim (\frac{2 x ^{3} + 9 x ^{2} + 12 x + 4}{- x ^{3} - 2 x ^{2} + 4 x + 8})

\int - x^{\frac{3}{2}} d x

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

\int_{0}^{c} 9 e^{3 x} d x