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Beliebt Rechnen >

(-6x-ln(1+6x)*(1+6x))^'

Lösung

(- 6 x - ln (1 + 6 x) \cdot (1 + 6 x))^{^{'}}

Lösung

- 6 ln (6 x + 1) - 12

Schritte zur Lösung

(- 6 x - ln (1 + 6 x) (1 + 6 x))^{'}

Wende die Summen-/Differenzregel an:

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

= - (6 x)^{^{'}} - (ln (1 + 6 x) (1 + 6 x))^{^{'}}

(6 x)^{'} = 6

(ln (1 + 6 x) (1 + 6 x))^{'} = 6 + 6 ln (1 + 6 x)

= - 6 - (6 + 6 ln (1 + 6 x))

Vereinfache

= - 6 ln (6 x + 1) - 12

Graph

Beliebte Beispiele

sum from n=1 to infinity of 1/(n^3+n^2)

n = 1 \sum \infty \frac{1}{n ^{3} + n ^{2}}

derivative (x^2-5x+3)/(x^2+7)

d er i v a t i v e \frac{x ^{2} - 5 x + 3}{x ^{2} + 7}

tangent f(x)=-5x^2+2x

t an g e n t f (x) = - 5 x^{2} + 2 x

derivative f(x)=5x^2+3

d er i v a t i v e f (x) = 5 x^{2} + 3

derivative of (3sin(x-11cos(x))/(x-2))

\frac{d}{d x} (\frac{3 sin ( x ) - 11 cos ( x )}{x - 2})