de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(\partial)/(\partial y)(cos(x+4y))

Lösung

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

Lösung

- sin (x + 4 y) \cdot 4

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Kettenregel an:

- sin (x + 4 y) \frac{\partial}{\partial y} (x + 4 y)

= - sin (x + 4 y) \frac{\partial}{\partial y} (x + 4 y)

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

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

Beliebte Beispiele

integral of e^xsin(x)

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

derivative f(x)= 1/27 (9x^2+6)^{3/2}

d er i v a t i v e f (x) = \frac{1}{27} (9 x^{2} + 6)^{\frac{3}{2}}

integral of e^{1/2 x^2}

\int e^{\frac{1}{2} x^{2}} d x

limit as x approaches 4-of |x-4|

x \to 4 - lim (∣ x - 4 ∣)

y^'=y+x^2e^x+1-1/e

y^{^{'}} = y + x^{2} e^{x} + 1 - \frac{1}{e}