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Beliebt Rechnen >

derivative of \sqrt[4]{2x^2-4x+7}

Lösung

\frac{d}{d x} (4 2 x^{2} - 4 x + 7)

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (4 2 x^{2} - 4 x + 7)

Wende die Kettenregel an:

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

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

\frac{d}{d x} (2 x^{2} - 4 x + 7) = 4 x - 4

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

Vereinfache

\frac{1}{4 ( 2 x ^{2} - 4 x + 7 ) ^{\frac{3}{4}}} (4 x - 4) : \frac{x - 1}{( 2 x ^{2} - 4 x + 7 ) ^{\frac{3}{4}}}

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

Graph

Beliebte Beispiele

integral of ((1-((x^2)/9)))^{1/2}

\int ((1 - (\frac{x ^{2}}{9})))^{\frac{1}{2}} d x

d/(dy)(x^2+y^3)

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

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\int (x + 2) (x - 5) d x

derivative of e^{(x^4/(10)})

\frac{d}{d x} (e^{\frac{x ^{4}}{10}})

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

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