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Beliebt Rechnen >

derivative of ln(sqrt(tan(x)))

Lösung

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

Lösung

csc (2 x)

Schritte zur Lösung

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

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

Vereinfache

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

= csc (2 x)

Graph

Beliebte Beispiele

\frac{d y}{d x} = 3 x + y

t an g e n t 9 x - 9 x

derivative of ln((a^x/(1+a^x)))

\frac{d}{d x} (ln (\frac{a ^{x}}{1 + a ^{x}}))

(1+x)(dy)/(dx)-xy=x-x^2

(1 + x) \frac{d y}{d x} - x y = x - x^{2}

(\partial)/(\partial x)(10arccot(x))

\frac{\partial}{\partial x} (10 arccot (x))