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Beliebt Rechnen >

derivative of \sqrt[5]{1+x}

Lösung

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

Lösung

\frac{1}{5 ( 1 + x ) ^{\frac{4}{5}}}

Schritte zur Lösung

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

Wende die Kettenregel an:

\frac{1}{5 ( 1 + x ) ^{\frac{4}{5}}} \frac{d}{d x} (1 + x)

= \frac{1}{5 ( 1 + x ) ^{\frac{4}{5}}} \frac{d}{d x} (1 + x)

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

= \frac{1}{5 ( 1 + x ) ^{\frac{4}{5}}} \cdot 1

Vereinfache

= \frac{1}{5 ( 1 + x ) ^{\frac{4}{5}}}

Graph

Beliebte Beispiele

limit as x approaches 3+of (x+4)/(x+3)

x \to 3 + lim (\frac{x + 4}{x + 3})

integral of e^x+3x-x^2

\int e^{x} + 3 x - x^{2} d x

derivative 1/(3sqrt(x^5))

d er i v a t i v e \frac{1}{3 x ^{5}}

integral from 1 to 2 of (6x-1)

\int_{1}^{2} (6 x - 1) d x

tangent f(x)=(2x)/(x+1),(1,1)

t an g e n t f (x) = \frac{2 x}{x + 1}, (1, 1)