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Beliebt Rechnen >

derivative of sinh^2(3x)

Lösung

\frac{d}{d x} (sinh^{2} (3 x))

Lösung

6 sinh (3 x) cosh (3 x)

Schritte zur Lösung

\frac{d}{d x} (sinh^{2} (3 x))

Wende die Kettenregel an:

2 sinh (3 x) \frac{d}{d x} (sinh (3 x))

= 2 sinh (3 x) \frac{d}{d x} (sinh (3 x))

\frac{d}{d x} (sinh (3 x)) = cosh (3 x) \cdot 3

= 2 sinh (3 x) cosh (3 x) \cdot 3

Vereinfache

= 6 sinh (3 x) cosh (3 x)

Graph

Beliebte Beispiele

y^{''}+4y=0,y(0)=4,y^'(0)=1

y^{^{''}} + 4 y = 0, y (0) = 4, y^{^{'}} (0) = 1

integral of (cos(9x))

\int (cos (9 x)) d x

derivative of 2xe^x+3sec(x)

\frac{d}{d x} (2 x e^{x} + 3 sec (x))

derivative of ln((ax^n))

\frac{d}{d x} (ln ((a x)^{n}))

(dy)/(dx)=y(1-y),y(0)=8

\frac{d y}{d x} = y (1 - y), y (0) = 8