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Beliebt Rechnen >

derivative of 1-ln(cos(x))

Lösung

\frac{d}{d x} (1 - ln (cos (x)))

Lösung

tan (x)

Schritte zur Lösung

\frac{d}{d x} (1 - ln (cos (x)))

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (1) - \frac{d}{d x} (ln (cos (x)))

\frac{d}{d x} (1) = 0

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

= 0 - (- tan (x))

Vereinfache

= tan (x)

Graph

Beliebte Beispiele

derivative f(x)=(x^2-4)/(x-3)

d er i v a t i v e f (x) = \frac{x ^{2} - 4}{x - 3}

limit as x approaches-infinity of a^x

x \to - \infty lim (a^{x})

integral of y^2ln(y)

\int y^{2} ln (y) d y

integral of (x+1)/(x^2-x+1)

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

limit as x approaches 0 of sqrt(x)+x

x \to 0 lim (x + x)