derivative of cosh((4x^3/(x-2)))

Lösung

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

\frac{4 sinh ( \frac{4 x ^{3}}{x - 2} ) ( 2 x ^{3} - 6 x ^{2} )}{( x - 2 ) ^{2}}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (\frac{4 x ^{3}}{x - 2}) = \frac{4 ( 2 x ^{3} - 6 x ^{2} )}{( x - 2 ) ^{2}}

= sinh (\frac{4 x ^{3}}{x - 2}) \frac{4 ( 2 x ^{3} - 6 x ^{2} )}{( x - 2 ) ^{2}}

Multipliziere Brüche:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{4 sinh ( \frac{4 x ^{3}}{x - 2} ) ( 2 x ^{3} - 6 x ^{2} )}{( x - 2 ) ^{2}}

y = ln (ln (x^{32}))

\frac{d}{d t} (cos (t) (1 - sin (t)))

\int_{0}^{2} \frac{1}{x ^{4} + 1} d x

d er i v a t i v e 4 x e^{x^{2} - 1}

d er i v a t i v e f (x) = \frac{2}{3 x} - \frac{1}{6 x}