(\partial)/(\partial y)(sin(8x)cos(3y))

Lösung

\frac{\partial}{\partial y} (sin (8 x) cos (3 y))

- 3 sin (8 x) sin (3 y)

Schritte zur Lösung

\frac{\partial}{\partial y} (sin (8 x) cos (3 y))

Behandle

x

als Konstante

Entferne die Konstante:

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

= sin (8 x) \frac{\partial}{\partial y} (cos (3 y))

Wende die Kettenregel an:

- sin (3 y) \frac{\partial}{\partial y} (3 y)

= - sin (3 y) \frac{\partial}{\partial y} (3 y)

\frac{\partial}{\partial y} (3 y) = 3

= sin (8 x) (- sin (3 y) \cdot 3)

Vereinfache

= - 3 sin (8 x) sin (3 y)

d er i v a t i v e (6 x^{2} - 9 x) e^{x}

\int \frac{t ^{3}}{m} - \frac{cos ( t )}{m} d t

\frac{d}{d x} (\frac{x ^{2} - 9 x + 20}{( x + 2 ) ( x - 2 )})

\frac{d}{d x} ((lo g_{10} (x))^{s i n h (x)})

t an g e n t f (x) = x^{2} - 4, at a = 1