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Beliebt Rechnen >

derivative f(t)=ln(cos(t))

Lösung

ableitung von

f (t) = ln (cos (t))

Lösung

- tan (t)

Schritte zur Lösung

\frac{d}{d t} (ln (cos (t)))

Wende die Kettenregel an:

\frac{1}{cos ( t )} \frac{d}{d t} (cos (t))

= \frac{1}{cos ( t )} \frac{d}{d t} (cos (t))

\frac{d}{d t} (cos (t)) = - sin (t)

= \frac{1}{cos ( t )} (- sin (t))

Vereinfache

\frac{1}{cos ( t )} (- sin (t)) : - tan (t)

= - tan (t)

Graph

Beliebte Beispiele

tangent f(x)=e^xcos(x),(0,1)

t an g e n t f (x) = e^{x} cos (x), (0, 1)

(\partial)/(\partial x)(ln(7x^2+y^2+6))

\frac{\partial}{\partial x} (ln (7 x^{2} + y^{2} + 6))

x y^{^{'}} + 2 y = - 2 e^{x}

limit as x approaches-3 of 7/(x+3)

x \to - 3 lim (\frac{7}{x + 3})

y^{^{'}} = t^{2} - y