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Beliebt Rechnen >

derivative of cos^2(ln(x))

Lösung

\frac{d}{d x} (cos^{2} (ln (x)))

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (cos^{2} (ln (x)))

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

Graph

Beliebte Beispiele

y^{''}+8y^'+6y=0

y^{^{''}} + 8 y^{^{'}} + 6 y = 0

inverselaplace (4s+3)/(s(s^2+6s+34))

in v erse l a pl a ce \frac{4 s + 3}{s ( s ^{2} + 6 s + 34 )}

f^'(x)=sqrt(x+1)

f^{^{'}} (x) = x + 1

derivative of-sin(2x*2+cos(2x)*2)

\frac{d}{d x} (- sin (2 x) \cdot 2 + cos (2 x) \cdot 2)

tangent-3x^2+6x+4

t an g e n t - 3 x^{2} + 6 x + 4