derivative sec^9(x)

Lösung

ableitung von

sec^{9} (x)

9 sec^{9} (x) tan (x)

Schritte zur Lösung

\frac{d}{d x} (sec^{9} (x))

Wende die Kettenregel an:

9 (sec (x))^{8} \frac{d}{d x} (sec (x))

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

\frac{d}{d x} (sec (x)) = sec (x) tan (x)

= 9 (sec (x))^{8} sec (x) tan (x)

Vereinfache

9 sec^{8} (x) sec (x) tan (x) : 9 sec^{9} (x) tan (x)

= 9 sec^{9} (x) tan (x)

y^{^{''}} + 2 y^{^{'}} + y = e^{- x} ln (x)

\frac{d}{d x} (\frac{x ^{6}}{6} - \frac{x ^{5}}{5} + 20)

a re a f (x) = x, g (x) = x, x = 0, x = 2

y^{^{''}} + 2 y^{^{'}} + 5 y = 0, y (0) = 1, y^{^{'}} (0) = 2

n = 1 \sum \infty \frac{1}{n ^{3}}