(\partial)/(\partial y)(x^2*sin(2y))

Lösung

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

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

Schritte zur Lösung

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

Behandle

x

als Konstante

Entferne die Konstante:

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

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

Wende die Kettenregel an:

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

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

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

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

d er i v a t i v e f (x) = x - 3 x

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

x \to \frac{1}{8} lim (\frac{1}{x} + x^{- 1})

\int \frac{1}{t ^{2} + 9} d t

\int (4 x^{3} + x^{2}) (3 x^{4} + x^{3})^{8} d x