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Beliebt Rechnen >

derivative of sin^2(2bx)

Lösung

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

Lösung

4 b sin (2 b x) cos (2 b x)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (sin (2 b x)) = cos (2 b x) \cdot 2 b

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

Vereinfache

= 4 b sin (2 b x) cos (2 b x)

Graph

Beliebte Beispiele

derivative of ln((2x+5^3))

\frac{d}{d x} (ln ((2 x + 5)^{3}))

derivative of arcsech(x)

\frac{d}{d x} (arcsech (x))

integral of 1/(tan(x)sec(x))

\int \frac{1}{tan ( x ) sec ( x )} d x

(\partial)/(\partial y)(x^5y^{10}cos(xy^2))

\frac{\partial}{\partial y} (x^{5} y^{10} cos (x y^{2}))

derivative of 25e^{5x}

\frac{d}{d x} (25 e^{5 x})