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[4]{6x^4-7x^2}

Lösung

Lösung

\frac{x ( 12 x ^{2} - 7 )}{2 ( 6 x ^{4} - 7 x ^{2} ) ^{\frac{3}{4}}}

Schritte zur Lösung

Wende die Kettenregel an:

\frac{1}{4 ( 6 x ^{4} - 7 x ^{2} ) ^{\frac{3}{4}}} \frac{d}{d x} (6 x^{4} - 7 x^{2})

= \frac{1}{4 ( 6 x ^{4} - 7 x ^{2} ) ^{\frac{3}{4}}} \frac{d}{d x} (6 x^{4} - 7 x^{2})

\frac{d}{d x} (6 x^{4} - 7 x^{2}) = 24 x^{3} - 14 x

= \frac{1}{4 ( 6 x ^{4} - 7 x ^{2} ) ^{\frac{3}{4}}} (24 x^{3} - 14 x)

Vereinfache

\frac{1}{4 ( 6 x ^{4} - 7 x ^{2} ) ^{\frac{3}{4}}} (24 x^{3} - 14 x) : \frac{x ( 12 x ^{2} - 7 )}{2 ( 6 x ^{4} - 7 x ^{2} ) ^{\frac{3}{4}}}

= \frac{x ( 12 x ^{2} - 7 )}{2 ( 6 x ^{4} - 7 x ^{2} ) ^{\frac{3}{4}}}

Graph

Beliebte Beispiele

integral of 4x^3+3x^2+2x+1+1/x+1/(x^3)

x^2y^{''}-2xy^'-4y=0

integral of (1/(x+1))

derivative of (2a/x)

(\partial)/(\partial x)(7e^{-4x})