de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of ((3x+3/(x-5))^5)

Lösung

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

Lösung

- \frac{90 ( 3 x + 3 ) ^{4}}{( x - 5 ) ^{6}}

Schritte zur Lösung

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

Wende die Kettenregel an:

5 (\frac{3 x + 3}{x - 5})^{4} \frac{d}{d x} (\frac{3 x + 3}{x - 5})

= 5 (\frac{3 x + 3}{x - 5})^{4} \frac{d}{d x} (\frac{3 x + 3}{x - 5})

\frac{d}{d x} (\frac{3 x + 3}{x - 5}) = - \frac{18}{( x - 5 ) ^{2}}

= 5 (\frac{3 x + 3}{x - 5})^{4} (- \frac{18}{( x - 5 ) ^{2}})

Vereinfache

5 (\frac{3 x + 3}{x - 5})^{4} (- \frac{18}{( x - 5 ) ^{2}}) : - \frac{90 ( 3 x + 3 ) ^{4}}{( x - 5 ) ^{6}}

= - \frac{90 ( 3 x + 3 ) ^{4}}{( x - 5 ) ^{6}}

Graph

Beliebte Beispiele

integral of 4te^t

\int 4 t e^{t} d t

integral of (3x-4)^4

\int (3 x - 4)^{4} d x

derivative 7sqrt(t)

d er i v a t i v e 7 t

derivative f(x)=3sqrt(25-x^2)

d er i v a t i v e f (x) = 3 25 - x^{2}

derivative of (c^3-x^3/(c^3+x^3))

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