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Beliebt Rechnen >

derivative of sin^2(5x-3)

Lösung

\frac{d}{d x} (sin^{2} (5 x - 3))

Lösung

10 sin (5 x - 3) cos (5 x - 3)

Schritte zur Lösung

\frac{d}{d x} (sin^{2} (5 x - 3))

Wende die Kettenregel an:

2 sin (5 x - 3) \frac{d}{d x} (sin (5 x - 3))

= 2 sin (5 x - 3) \frac{d}{d x} (sin (5 x - 3))

\frac{d}{d x} (sin (5 x - 3)) = cos (5 x - 3) \cdot 5

= 2 sin (5 x - 3) cos (5 x - 3) \cdot 5

Vereinfache

= 10 sin (5 x - 3) cos (5 x - 3)

Graph

Beliebte Beispiele

sum from n=0 to infinity of 12^nx^n

derivative of (3x^4(2x^5))

integral of e^{3x-5}

y^{'''}-5y^{''}+6y^'+12y=0

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