derivative f(x)=(3/5 x)^9

Lösung

ableitung von

f (x) = (\frac{3}{5} x)^{9}

\frac{177147 x ^{8}}{1953125}

Schritte zur Lösung

\frac{d}{d x} ((\frac{3}{5} x)^{9})

Wende die Kettenregel an:

9 (\frac{3}{5} x)^{8} \frac{d}{d x} (\frac{3}{5} x)

= 9 (\frac{3}{5} x)^{8} \frac{d}{d x} (\frac{3}{5} x)

\frac{d}{d x} (\frac{3}{5} x) = \frac{3}{5}

= 9 (\frac{3}{5} x)^{8} \frac{3}{5}

Vereinfache

9 (\frac{3}{5} x)^{8} \frac{3}{5} : \frac{177147 x ^{8}}{1953125}

= \frac{177147 x ^{8}}{1953125}

\frac{d}{d x} (\frac{21}{64 x ^{\frac{11}{4}}})

\int_{0}^{1} x^{2} (\frac{2 ( x + 1 )}{3}) d x

x \to π - lim (ln (x))

\int_{0}^{4} 2 π x (4 x - x^{2}) d x

s l o p e y^{4} - 4 y^{2} = x^{4} - 9 x^{2}, (3, - 2)