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Beliebt Rechnen >

derivative of sin^2(pi-x)

Lösung

\frac{d}{d x} (sin^{2} (π - x))

Lösung

sin (2 x)

Schritte zur Lösung

\frac{d}{d x} (sin^{2} (π - x))

Vereinfache

sin^{2} (π - x) : sin^{2} (x)

= \frac{d}{d x} (sin^{2} (x))

Wende die Kettenregel an:

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

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

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

= 2 sin (x) cos (x)

Verwende die Doppelwinkelidentität:

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

= sin (2 x)

Graph

Beliebte Beispiele

(dy)/(dt)=(3t^2+te^{-t}+1)/(2y-4)

\frac{d y}{d t} = \frac{3 t ^{2} + t e ^{- t} + 1}{2 y - 4}

integral of a/(x^2)

\int \frac{a}{x ^{2}} d x

integral of 1/((x+3))

\int \frac{1}{( x + 3 )} d x

derivative of ((3-2x-x^2)/((x^2-1)))

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

(dy)/(dt)=y*ln(t),y(e)=200

\frac{d y}{d t} = y \cdot ln (t), y (e) = 200