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Beliebt Rechnen >

derivative of 4x^3-5x^2+ln(x)

Lösung

\frac{d}{d x} (4 x^{3} - 5 x^{2} + ln (x))

Lösung

12 x^{2} - 10 x + \frac{1}{x}

Schritte zur Lösung

\frac{d}{d x} (4 x^{3} - 5 x^{2} + ln (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (4 x^{3}) - \frac{d}{d x} (5 x^{2}) + \frac{d}{d x} (ln (x))

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

\frac{d}{d x} (5 x^{2}) = 10 x

\frac{d}{d x} (ln (x)) = \frac{1}{x}

= 12 x^{2} - 10 x + \frac{1}{x}

Graph

Beliebte Beispiele

fläche y^2-2x=1,x-y=1

a re a y^{2} - 2 x = 1, x - y = 1

derivative cos(t)+t^2sin(t)

d er i v a t i v e cos (t) + t^{2} sin (t)

derivative f(x)=arctan(x/a)

d er i v a t i v e f (x) = arctan (\frac{x}{a})

derivative of cosh^3(x)

\frac{d}{d x} (cosh^{3} (x))

integral of (10x+6)

\int (10 x + 6) d x