derivative \sqrt[4]{x^3}

Lösung

ableitung von

4 x^{3}

\frac{3 x ^{2}}{4 ( x ^{3} ) ^{\frac{3}{4}}}

Schritte zur Lösung

\frac{d}{d x} (4 x^{3})

Wende die Kettenregel an:

\frac{1}{4 ( x ^{3} ) ^{\frac{3}{4}}} \frac{d}{d x} (x^{3})

= \frac{1}{4 ( x ^{3} ) ^{\frac{3}{4}}} \frac{d}{d x} (x^{3})

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

= \frac{1}{4 ( x ^{3} ) ^{\frac{3}{4}}} \cdot 3 x^{2}

Vereinfache

\frac{1}{4 ( x ^{3} ) ^{\frac{3}{4}}} \cdot 3 x^{2} : \frac{3 x ^{2}}{4 ( x ^{3} ) ^{\frac{3}{4}}}

= \frac{3 x ^{2}}{4 ( x ^{3} ) ^{\frac{3}{4}}}

n = 1 \sum \infty \frac{( x ^{n} )}{n !}

d er i v a t i v e sin^{2} (1 - s^{2})

\int tan^{2} (θ) sec^{4} (θ) d θ

a re a x^{3} - 3 x, x

\frac{d}{d x} (ln ∣ 4 x - 3 ∣)