de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

d/(dy)(x-y^3+y^2sin(x))

Lösung

\frac{d}{d y} (x - y^{3} + y^{2} sin (x))

Lösung

- 3 y^{2} + 2 y sin (x)

Schritte zur Lösung

\frac{d}{d y} (x - y^{3} + y^{2} sin (x))

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d x}{d y} - \frac{d}{d y} (y^{3}) + \frac{d}{d y} (y^{2} sin (x))

\frac{d x}{d y} = 0

\frac{d}{d y} (y^{3}) = 3 y^{2}

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

= 0 - 3 y^{2} + 2 y sin (x)

Vereinfache

= - 3 y^{2} + 2 y sin (x)

Beliebte Beispiele

derivative x^3+5

d er i v a t i v e x^{3} + 5

limit as y approaches-3 of (5-y)^{4/3}

y \to - 3 lim ((5 - y)^{\frac{4}{3}})

f(x)=sqrt((x^2+1)/(x^2+4))

f (x) = \frac{x ^{2} + 1}{x ^{2} + 4}

derivative of sqrt(1+9x)

\frac{d}{d x} (1 + 9 x)

derivative a^8+cos^8(x)

d er i v a t i v e a^{8} + cos^{8} (x)