de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of y^2+x

Lösung

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

Lösung

2 y \frac{d y}{d x} + 1

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d x}{d x} = 1

= 2 y \frac{d y}{d x} + 1

Beliebte Beispiele

derivative of (-e^xx+2e^x/((1-x)^2))

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

taylor sin(3x), pi/3

t a y l or sin (3 x), \frac{π}{3}

(dy)/(dx)= x/(y^2sqrt(1+x))

\frac{d y}{d x} = \frac{x}{y ^{2} 1 + x}

integral of 2e^{2y}

\int 2 e^{2 y} d y

integral from-12 to 0 of 1/(sqrt(4-x))

\int_{- 12}^{0} \frac{1}{4 - x} d x