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Beliebt Rechnen >

derivative of \sqrt[3]{1+tan(x})

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (1 + tan (x)) = sec^{2} (x)

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

Vereinfache

\frac{1}{3 ( 1 + tan ( x ) ) ^{\frac{2}{3}}} sec^{2} (x) : \frac{sec ^{2} ( x )}{3 ( 1 + tan ( x ) ) ^{\frac{2}{3}}}

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

Graph

Beliebte Beispiele

y^'-2x(y^2+1)=0

y^{^{'}} - 2 x (y^{2} + 1) = 0

derivative of (4x+1^2(1-x)^3)

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