derivative (sin(x))^{(87)}

Lösung

ableitung von

(sin (x))^{(87)}

87 sin^{86} (x) cos (x)

Schritte zur Lösung

\frac{d}{d x} ((sin (x))^{87})

Wende die Kettenregel an:

87 (sin (x))^{86} \frac{d}{d x} (sin (x))

= 87 (sin (x))^{86} \frac{d}{d x} (sin (x))

\frac{d}{d x} (sin (x)) = cos (x)

= 87 (sin (x))^{86} cos (x)

Vereinfache

= 87 sin^{86} (x) cos (x)

\frac{d}{d x} (\frac{1}{3} e^{- 3 x})

in v erse l a pl a ce \frac{1}{( s ^{2} + 2 s + 2 ) ( s ^{2} + 9 )}

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

\int \frac{200}{16 x ^{2} + 256} d x

x \to 3 - lim (\frac{1}{3 - x})