(\partial)/(\partial x)(cos(8x)sin(4y))

Lösung

\frac{\partial}{\partial x} (cos (8 x) sin (4 y))

- 8 sin (8 x) sin (4 y)

Schritte zur Lösung

\frac{\partial}{\partial x} (cos (8 x) sin (4 y))

Behandle

y

als Konstante

Entferne die Konstante:

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

= sin (4 y) \frac{\partial}{\partial x} (cos (8 x))

Wende die Kettenregel an:

- sin (8 x) \frac{\partial}{\partial x} (8 x)

= - sin (8 x) \frac{\partial}{\partial x} (8 x)

\frac{\partial}{\partial x} (8 x) = 8

= sin (4 y) (- sin (8 x) \cdot 8)

Vereinfache

= - 8 sin (8 x) sin (4 y)

d er i v a t i v e \frac{1}{( 2 x ^{3} + 3 x + 5 ) ^{\frac{3}{4}}}

\int_{1}^{e} (ln (x))^{2} d x

\int \frac{x ^{2}}{x ^{3} + 1} d x

\frac{d y}{d x} = \frac{( - x e ^{- x^{2}} )}{y}

\int 8 x^{2} cos (2 x) d x