derivative of cosh^4(x)

Lösung

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

4 cosh^{3} (x) sinh (x)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (cosh (x)) = sinh (x)

= 4 (cosh (x))^{3} sinh (x)

Vereinfache

= 4 cosh^{3} (x) sinh (x)

\frac{d}{d x} (- \frac{8 x}{( x ^{2} - 4 ) ^{2}})

\int (cos (8 x) - csc^{2} (x)) d x

\frac{d}{d x} (x e^{s i n (x)})

n = 1 \sum \infty \frac{3 ^{n + 2}}{5 ^{n}}

d er i v a t i v e (r^{5} - 4 r) e^{r}