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Beliebt Rechnen >

derivative of 1/(cos(2x))

Lösung

\frac{d}{d x} (\frac{1}{cos ( 2 x )})

Lösung

sec (2 x) tan (2 x) \cdot 2

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{cos ( 2 x )})

Vereinfache

\frac{1}{cos ( 2 x )} : sec (2 x)

= \frac{d}{d x} (sec (2 x))

Wende die Kettenregel an:

sec (2 x) tan (2 x) \frac{d}{d x} (2 x)

= sec (2 x) tan (2 x) \frac{d}{d x} (2 x)

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

= sec (2 x) tan (2 x) \cdot 2

Graph

Beliebte Beispiele

integral of x^2sqrt(4-x)

\int x^{2} 4 - x d x

(\partial)/(\partial x)(x^2cos(xy^2))

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

limit as t approaches+0 of (e^t-1)/(t^9)

t \to + 0 lim (\frac{e ^{t} - 1}{t ^{9}})

integral of 32sin^4(2x)

\int 32 sin^{4} (2 x) d x

d/(dy)((x^2+y^2)arctan(y/x))

\frac{d}{d y} ((x^{2} + y^{2}) arctan (\frac{y}{x}))