de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of 1/(sqrt(6x+5))

Lösung

\frac{d}{d x} (\frac{1}{6 x + 5})

Lösung

- \frac{3}{( 6 x + 5 ) ^{\frac{3}{2}}}

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{6 x + 5})

Wende Exponentenregel an:

\frac{1}{a} = a^{- 1}

= \frac{d}{d x} ((6 x + 5)^{- \frac{1}{2}})

Wende die Kettenregel an:

- \frac{1}{2 ( 6 x + 5 ) ^{\frac{3}{2}}} \frac{d}{d x} (6 x + 5)

= - \frac{1}{2 ( 6 x + 5 ) ^{\frac{3}{2}}} \frac{d}{d x} (6 x + 5)

\frac{d}{d x} (6 x + 5) = 6

= - \frac{1}{2 ( 6 x + 5 ) ^{\frac{3}{2}}} \cdot 6

Vereinfache

- \frac{1}{2 ( 6 x + 5 ) ^{\frac{3}{2}}} \cdot 6 : - \frac{3}{( 6 x + 5 ) ^{\frac{3}{2}}}

= - \frac{3}{( 6 x + 5 ) ^{\frac{3}{2}}}

Graph

Beliebte Beispiele

(\partial)/(\partial y)(7ln(2x^5-3y))

\frac{\partial}{\partial y} (7 ln (2 x^{5} - 3 y))

fläche 1/(10x^2),x, x/(10)

a re a \frac{1}{10 x ^{2}}, x, \frac{x}{10}

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

(\partial)/(\partial x)(e^x*cos(x))

\frac{\partial}{\partial x} (e^{x} \cdot cos (x))

derivative 9(x^6-2)^5

d er i v a t i v e 9 (x^{6} - 2)^{5}