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Beliebt Rechnen >

derivative of log_{e}(tan(x))

Lösung

\frac{d}{d x} (lo g_{e} (tan (x)))

Lösung

2 csc (2 x)

Schritte zur Lösung

\frac{d}{d x} (lo g_{e} (tan (x)))

Vereinfache

lo g_{e} (tan (x)) : ln (tan (x))

= \frac{d}{d x} (ln (tan (x)))

Wende die Kettenregel an:

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

= \frac{1}{tan ( x )} \frac{d}{d x} (tan (x))

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

= \frac{1}{tan ( x )} sec^{2} (x)

Vereinfache

\frac{1}{tan ( x )} sec^{2} (x) : 2 csc (2 x)

= 2 csc (2 x)

Graph

Beliebte Beispiele

integral of-1/(2sqrt(x))

\int - \frac{1}{2 x} d x

tangent (6x)/(sqrt(4-x^2)),\at x=0

t an g e n t \frac{6 x}{4 - x ^{2}}, at x = 0

derivative of 4sqrt(7x^2+9)

\frac{d}{d x} (4 7 x^{2} + 9)

(\partial)/(\partial x)(4ln((2xy)/(7z)))

\frac{\partial}{\partial x} (4 ln (\frac{2 x y}{7 z}))

derivative h(w)=(4w^5-w)/w

d er i v a t i v e h (w) = \frac{4 w ^{5} - w}{w}