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Beliebt Rechnen >

derivative of ln(sec(2x))

Lösung

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

Lösung

2 tan (2 x)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

= \frac{1}{sec ( 2 x )} \frac{d}{d x} (sec (2 x))

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

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

Vereinfache

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

= 2 tan (2 x)

Graph

Beliebte Beispiele

derivative of (4x/((2x+1)^2))

\frac{d}{d x} (\frac{4 x}{( 2 x + 1 ) ^{2}})

integral of ((x^2+1))/(sqrt(x^3+3x))

\int \frac{( x ^{2} + 1 )}{x ^{3} + 3 x} d x

derivative sqrt(5+4x)

d er i v a t i v e 5 + 4 x

derivative f(x)=(4x)/((x-1)^2)

d er i v a t i v e f (x) = \frac{4 x}{( x - 1 ) ^{2}}

(d^2)/(dx^2)(3csc(x))

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