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Beliebt Rechnen >

derivative of ln(cosh(8x))

Lösung

\frac{d}{d x} (ln (cosh (8 x)))

Lösung

8 tanh (8 x)

Schritte zur Lösung

\frac{d}{d x} (ln (cosh (8 x)))

Wende die Kettenregel an:

\frac{1}{cosh ( 8 x )} \frac{d}{d x} (cosh (8 x))

= \frac{1}{cosh ( 8 x )} \frac{d}{d x} (cosh (8 x))

\frac{d}{d x} (cosh (8 x)) = sinh (8 x) \cdot 8

= \frac{1}{cosh ( 8 x )} sinh (8 x) \cdot 8

Vereinfache

\frac{1}{cosh ( 8 x )} sinh (8 x) \cdot 8 : 8 tanh (8 x)

= 8 tanh (8 x)

Graph

Beliebte Beispiele

(d^2)/(dx^2)(x^2e^{-2x})

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t an g e n t \frac{1}{16} tan^{2} (x) + cos (x)

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\int \frac{x ^{2} + 10 x - 1}{x ^{3} - x} d x

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\int - 2 y 2 - y^{2} d y