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Beliebt Rechnen >

derivative of 4x^4-3x^3-30

Lösung

\frac{d}{d x} (4 x^{4} - 3 x^{3} - 30)

Lösung

16 x^{3} - 9 x^{2}

Schritte zur Lösung

\frac{d}{d x} (4 x^{4} - 3 x^{3} - 30)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (4 x^{4}) - \frac{d}{d x} (3 x^{3}) - \frac{d}{d x} (30)

\frac{d}{d x} (4 x^{4}) = 16 x^{3}

\frac{d}{d x} (3 x^{3}) = 9 x^{2}

\frac{d}{d x} (30) = 0

= 16 x^{3} - 9 x^{2} - 0

Vereinfache

= 16 x^{3} - 9 x^{2}

Graph

Beliebte Beispiele

integral of (1-cos(2x))

\int (1 - cos (2 x)) d x

integral of x/((x^2+6x+13))

\int \frac{x}{( x ^{2} + 6 x + 13 )} d x

limit as x approaches 2 of e^2

x \to 2 lim (e^{2})

y^{'''}-y^{''}-20y^'=0

y^{^{'''}} - y^{^{''}} - 20 y^{^{'}} = 0

integral of 1/((sqrt(1-x^2)))

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