derivative y=(ln(x))^4

Lösung

ableitung von

y = (ln (x))^{4}

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

\int \frac{x ^{3}}{( 49 - 4 x ^{2} ) ^{\frac{3}{2}}} d x

\int x (4 x^{2} + 7)^{9} d x

\int \frac{1}{x \cdot ( 2 + 4 x )} d x

\frac{\partial}{\partial y} (x + 4 y)

d er i v a t i v e \frac{( 2 x ^{2} tan ( x ) )}{sec ( x )}