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Beliebt Rechnen >

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

Lösung

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

Lösung

8 x^{3} + 3 x^{2} - 2 x

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (2 x^{4}) = 8 x^{3}

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

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

\frac{d}{d x} (4) = 0

= 8 x^{3} + 3 x^{2} - 2 x + 0

Vereinfache

= 8 x^{3} + 3 x^{2} - 2 x

Graph

Beliebte Beispiele

inverselaplace 1/(9s+1)

in v erse l a pl a ce \frac{1}{9 s + 1}

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

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

y^{''}-5y^'+6y=e^{2t}

y^{^{''}} - 5 y^{^{'}} + 6 y = e^{2 t}

limit as x approaches 3 of 1/((x-3)^2)

x \to 3 lim (\frac{1}{( x - 3 ) ^{2}})

f^{^{''}} (x) = \frac{1}{x}