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Beliebt Rechnen >

derivative of sin^2(3x+1)

Lösung

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

Lösung

6 sin (3 x + 1) cos (3 x + 1)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (sin (3 x + 1)) = cos (3 x + 1) \cdot 3

= 2 sin (3 x + 1) cos (3 x + 1) \cdot 3

Vereinfache

= 6 sin (3 x + 1) cos (3 x + 1)

Graph

Beliebte Beispiele

limit as x approaches 3 of (x-3)ln(x-3)

x \to 3 lim ((x - 3) ln (x - 3))

integral of e^{-x/(yln(2))}

\int e^{- \frac{x}{y l n ( 2 )}} d x

integral of ((5x^3-3)/x)

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

inverselaplace (8.75)/(S+2/3)

in v erse l a pl a ce \frac{8.75}{S + \frac{2}{3}}

derivative of (2x+5/(x^2+5x))

\frac{d}{d x} (\frac{2 x + 5}{x ^{2} + 5 x})