de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

d/(dy)(sqrt(10y-y^2))

Lösung

\frac{d}{d y} (10 y - y^{2})

Lösung

\frac{5 - y}{10 y - y ^{2}}

Schritte zur Lösung

\frac{d}{d y} (10 y - y^{2})

Wende die Kettenregel an:

\frac{1}{2 10 y - y ^{2}} \frac{d}{d y} (10 y - y^{2})

= \frac{1}{2 10 y - y ^{2}} \frac{d}{d y} (10 y - y^{2})

\frac{d}{d y} (10 y - y^{2}) = 10 - 2 y

= \frac{1}{2 10 y - y ^{2}} (10 - 2 y)

Vereinfache

\frac{1}{2 10 y - y ^{2}} (10 - 2 y) : \frac{5 - y}{10 y - y ^{2}}

= \frac{5 - y}{10 y - y ^{2}}

Graph

Beliebte Beispiele

(\partial)/(\partial y)(x^{y-1})

\frac{\partial}{\partial y} (x^{y - 1})

x((dy)/(dx))+2y=3

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

(\partial)/(\partial y)(2/y)

\frac{\partial}{\partial y} (\frac{2}{y})

derivative f(x)=2sec(x)tan(x)

d er i v a t i v e f (x) = 2 sec (x) tan (x)

integral of ((6+e^x)^2)/(e^x)

\int \frac{( 6 + e ^{x} ) ^{2}}{e ^{x}} d x