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Beliebt Rechnen >

(\partial)/(\partial x)(e^{8y}sin(-8x))

Lösung

\frac{\partial}{\partial x} (e^{8 y} sin (- 8 x))

Lösung

- e^{8 y} cos (8 x) \cdot 8

Schritte zur Lösung

\frac{\partial}{\partial x} (e^{8 y} sin (- 8 x))

Vereinfache

e^{8 y} sin (- 8 x) : - e^{8 y} sin (8 x)

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

Behandle

y

als Konstante

Entferne die Konstante:

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

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

Wende die Kettenregel an:

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

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

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

= - e^{8 y} cos (8 x) \cdot 8

Beliebte Beispiele

integral of x(sin(x))^2

\int x (sin (x))^{2} d x

derivative f(x)=x+2sin(x)

d er i v a t i v e f (x) = x + 2 sin (x)

limit as x approaches 1 of (1-x)/(ln(x))

x \to 1 lim (\frac{1 - x}{ln ( x )})

integral of ((x^3+5))/(x^2)

\int \frac{( x ^{3} + 5 )}{x ^{2}} d x

limit as x approaches-2 of |x+2|

x \to - 2 lim (∣ x + 2 ∣)