derivative y=sqrt(cos(x))

Lösung

ableitung von

y = cos (x)

- \frac{sin ( x )}{2 cos ( x )}

Schritte zur Lösung

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

Wende die Kettenregel an:

\frac{1}{2 cos ( x )} \frac{d}{d x} (cos (x))

= \frac{1}{2 cos ( x )} \frac{d}{d x} (cos (x))

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

= \frac{1}{2 cos ( x )} (- sin (x))

Vereinfache

\frac{1}{2 cos ( x )} (- sin (x)) : - \frac{sin ( x )}{2 cos ( x )}

= - \frac{sin ( x )}{2 cos ( x )}

t a y l or ln (\frac{1 + x}{1 - x})

\frac{d}{d x} (lo g_{5} (4 x^{2} + 5 x - 8))

\frac{\partial}{\partial x} (x y + \frac{y}{x})

\int \frac{cos ^{5} ( 5 x + 1 )}{sin ^{4} ( 5 x + 1 )} d x

t an g e n t y = \frac{( x - 1 )}{x + 1}