What is the d/(dy)(sqrt(y-y^2)) ?

The d/(dy)(sqrt(y-y^2)) is (1-2y)/(2sqrt(y-y^2))

What is the first d/(dy)(sqrt(y-y^2)) ?

The first d/(dy)(sqrt(y-y^2)) is (1-2y)/(2sqrt(y-y^2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

\frac{1 - 2 y}{2 y - y ^{2}}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

= \frac{1 - 2 y}{2 y - y ^{2}}

y^{^{'}} = \frac{3 y - 4 x}{2 x - 3 x}

\frac{d}{d x} (x + ln (x^{2} + 1))

y = 2 x + 2, y = x^{2} + 2, x = - 1, x = 3

x \to - π lim (\frac{sin ( x )}{x})

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

What is the d/(dy)(sqrt(y-y^2)) ?
The d/(dy)(sqrt(y-y^2)) is (1-2y)/(2sqrt(y-y^2))
What is the first d/(dy)(sqrt(y-y^2)) ?
The first d/(dy)(sqrt(y-y^2)) is (1-2y)/(2sqrt(y-y^2))