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Beliebt Rechnen >

derivative y=\sqrt[3]{1+7x}

Lösung

ableitung von

y = 3 1 + 7 x

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (3 1 + 7 x)

Wende die Kettenregel an:

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

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

\frac{d}{d x} (1 + 7 x) = 7

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

Vereinfache

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

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

Graph

Beliebte Beispiele

derivative of 18x^2

\frac{d}{d x} (18 x^{2})

derivative of sqrt(8x^2+2x-3)

\frac{d}{d x} (8 x^{2} + 2 x - 3)

integral from 1 to 4 of x^2+1/(4x^2)

\int_{1}^{4} x^{2} + \frac{1}{4 x ^{2}} d x

integral of (e^x)/(a+be^x)

\int \frac{e ^{x}}{a + b e ^{x}} d x

(3+x^2)y^'-2xy=0

(3 + x^{2}) y^{^{'}} - 2 x y = 0