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Beliebt Rechnen >

derivative of 7ln(cos(x))

Lösung

\frac{d}{d x} (7 ln (cos (x)))

Lösung

- 7 tan (x)

Schritte zur Lösung

\frac{d}{d x} (7 ln (cos (x)))

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 7 \frac{d}{d x} (ln (cos (x)))

Wende die Kettenregel an:

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

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

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

= 7 \cdot \frac{1}{cos ( x )} (- sin (x))

Vereinfache

7 \cdot \frac{1}{cos ( x )} (- sin (x)) : - 7 tan (x)

= - 7 tan (x)

Graph

Beliebte Beispiele

integral of csc^5(2x)

\int csc^{5} (2 x) d x

integral of e^{xt}

\int e^{x t} d x

derivative of (arcsin(2x)^2)

\frac{d}{d x} ((arcsin (2 x))^{2})

tangent e^{-3t},\at t=0

t an g e n t e^{- 3 t}, at t = 0

derivative of-5cos(x)

\frac{d}{d x} (- 5 cos (x))