derivative of sin^2(x-1)

Lösung

\frac{d}{d x} (sin^{2} (x - 1))

sin (2 (- 1 + x))

Schritte zur Lösung

\frac{d}{d x} (sin^{2} (x - 1))

Wende die Kettenregel an:

2 sin (x - 1) \frac{d}{d x} (sin (x - 1))

= 2 sin (x - 1) \frac{d}{d x} (sin (x - 1))

\frac{d}{d x} (sin (x - 1)) = cos (x - 1)

= 2 sin (x - 1) cos (x - 1)

Verwende die Doppelwinkelidentität:

2 sin (x) cos (x) = sin (2 x)

= sin (2 (- 1 + x))

\int (2 x^{2} - 1) (2 x^{3} - 3 x + 9)^{\frac{1}{3}} d x

\frac{( x ^{2} )}{y ^{2} - 5} y^{^{'}} = \frac{1}{2 y}

\int_{6}^{7} t^{2} d t

d er i v a t i v e f (x) = \frac{0.3 ( 9 ^{x} )}{x ^{3}}

n = 1 \sum \infty \frac{8 ^{n}}{n !}