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Beliebt Rechnen >

derivative of 9sin^2(x)

Lösung

\frac{d}{d x} (9 sin^{2} (x))

Lösung

9 sin (2 x)

Schritte zur Lösung

\frac{d}{d x} (9 sin^{2} (x))

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 9 \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)

= 9 \cdot 2 sin (x) cos (x)

Vereinfache

9 \cdot 2 sin (x) cos (x) : 9 sin (2 x)

= 9 sin (2 x)

Graph

Beliebte Beispiele

fläche y=x^2-14,y=13x

a re a y = x^{2} - 14, y = 13 x

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

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

inverselaplace (10)/((s(s+1)))

in v erse l a pl a ce \frac{10}{( s ( s + 1 ) )}

sin^2(y)dx+xsin(2y)dy=0

sin^{2} (y) d x + x sin (2 y) d y = 0

integral of sin^3(7x)

\int sin^{3} (7 x) d x