derivative of (1/2 x^5)

Lösung

\frac{d}{d x} ((\frac{1}{2} x)^{5})

\frac{5 x ^{4}}{32}

Schritte zur Lösung

\frac{d}{d x} ((\frac{1}{2} x)^{5})

Wende die Kettenregel an:

5 (\frac{1}{2} x)^{4} \frac{d}{d x} (\frac{1}{2} x)

= 5 (\frac{1}{2} x)^{4} \frac{d}{d x} (\frac{1}{2} x)

\frac{d}{d x} (\frac{1}{2} x) = \frac{1}{2}

= 5 (\frac{1}{2} x)^{4} \frac{1}{2}

Vereinfache

5 (\frac{1}{2} x)^{4} \frac{1}{2} : \frac{5 x ^{4}}{32}

= \frac{5 x ^{4}}{32}

x \to \infty lim ((x)^{\frac{l n ( 2 )}{1 + l n ( x )}})

d er i v a t i v e f (x) = \frac{100}{( 1 + 5 x ) ^{3}}

\int x^{3} + sin (x) + cos (x) d x

\int e^{8 x} sin (9 x) d x

d er i v a t i v e f (x) = tan^{2} (3 e^{x})