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Beliebt Rechnen >

(\partial)/(\partial x)(ln(cos(x)))

Lösung

\frac{\partial}{\partial x} (ln (cos (x)))

Lösung

- tan (x)

Schritte zur Lösung

\frac{\partial}{\partial x} (ln (cos (x)))

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

= - tan (x)

Beliebte Beispiele

derivative ((x^2))/(x^2+27)

d er i v a t i v e \frac{( x ^{2} )}{x ^{2} + 27}

derivative of (cos(x)/(log_{3)(x)})

\frac{d}{d x} (\frac{cos ( x )}{lo g _{3} ( x )})

integral of x/(sqrt(4x^2+5))

\int \frac{x}{4 x ^{2} + 5} d x

(\partial)/(\partial x)((rx(K(r,x)-x))/(K(r,x)+ax))

\frac{\partial}{\partial x} (\frac{r x ( K ( r , x ) - x )}{K ( r , x ) + a x})

f (x) = 3 x^{2} + 1