de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of 5ln(x+cos(x))

Lösung

\frac{d}{d x} (5 ln (x) + cos (x))

Lösung

\frac{5}{x} - sin (x)

Schritte zur Lösung

\frac{d}{d x} (5 ln (x) + cos (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (5 ln (x)) + \frac{d}{d x} (cos (x))

\frac{d}{d x} (5 ln (x)) = \frac{5}{x}

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

= \frac{5}{x} - sin (x)

Graph

Beliebte Beispiele

integral of 1/(sqrt(x^2+14x))

\int \frac{1}{x ^{2} + 14 x} d x

integral of e^{2u}

\int e^{2 u} d u

maclaurin e^x*sin(2x)

ma c l a u r in e^{x} \cdot sin (2 x)

laplacetransform f(t)=t^2+6t-3

l a pl a ce t r an s f or m f (t) = t^{2} + 6 t - 3

tangent f(x)=2x^4,(-2,32)

t an g e n t f (x) = 2 x^{4}, (- 2, 32)