de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of sqrt(16+x^2)

Lösung

\frac{d}{d x} (16 + x^{2})

Lösung

\frac{x}{16 + x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (16 + x^{2})

Wende die Kettenregel an:

\frac{1}{2 16 + x ^{2}} \frac{d}{d x} (16 + x^{2})

= \frac{1}{2 16 + x ^{2}} \frac{d}{d x} (16 + x^{2})

\frac{d}{d x} (16 + x^{2}) = 2 x

= \frac{1}{2 16 + x ^{2}} \cdot 2 x

Vereinfache

\frac{1}{2 16 + x ^{2}} \cdot 2 x : \frac{x}{16 + x ^{2}}

= \frac{x}{16 + x ^{2}}

Graph

Beliebte Beispiele

derivative of axcos(3x)

\frac{d}{d x} (a x cos (3 x))

sum from n=1 to infinity of 1/(2^n+3^n)

n = 1 \sum \infty \frac{1}{2 ^{n} + 3 ^{n}}

xy^2((dy)/(dx))=y^3-x^3

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

integral of (2xy^2+2y)

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

x y^{^{'}} + 2 y = 3 x