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Beliebt Rechnen >

derivative of 6x^3-4x^2+5x

Lösung

\frac{d}{d x} (6 x^{3} - 4 x^{2} + 5 x)

Lösung

18 x^{2} - 8 x + 5

Schritte zur Lösung

\frac{d}{d x} (6 x^{3} - 4 x^{2} + 5 x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (6 x^{3}) - \frac{d}{d x} (4 x^{2}) + \frac{d}{d x} (5 x)

\frac{d}{d x} (6 x^{3}) = 18 x^{2}

\frac{d}{d x} (4 x^{2}) = 8 x

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

= 18 x^{2} - 8 x + 5

Graph

Beliebte Beispiele

tangent f(x)=(9x)/(x+4),\at x=8

t an g e n t f (x) = \frac{9 x}{x + 4}, at x = 8

integral of-1/4 sin(2x)

\int - \frac{1}{4} sin (2 x) d x

derivative f(x)=(6x)/(x+6)

d er i v a t i v e f (x) = \frac{6 x}{x + 6}

derivative of ln(3x^2+5)

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

limit as x approaches 0+of x^2-ln(x)

x \to 0 + lim (x^{2} - ln (x))