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Beliebt Rechnen >

derivative of 3xln(4x-3x)

Lösung

\frac{d}{d x} (3 x ln (4 x) - 3 x)

Lösung

3 ln (4 x)

Schritte zur Lösung

\frac{d}{d x} (3 x ln (4 x) - 3 x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (3 x ln (4 x)) - \frac{d}{d x} (3 x)

\frac{d}{d x} (3 x ln (4 x)) = 3 (ln (4 x) + 1)

\frac{d}{d x} (3 x) = 3

= 3 (ln (4 x) + 1) - 3

Vereinfache

3 (ln (4 x) + 1) - 3 : 3 ln (4 x)

= 3 ln (4 x)

Graph

Beliebte Beispiele

(\partial)/(\partial x)(6zexyz)

\frac{\partial}{\partial x} (6 ze x yz)

integral of 1/(sqrt(y-1)+\sqrt[3]{y-1)}

\int \frac{1}{y - 1 + 3 y - 1} d y

integral of 18θsec^2(θ)

\int 18 θ sec^{2} (θ) d θ

integral of ln^3(x)

\int ln^{3} (x) d x

limit as x approaches-3 of 1

x \to - 3 lim (1)