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Beliebt Rechnen >

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

Lösung

ableitung von

- 2 x^{4} + 5 x^{2} - 3

Lösung

- 8 x^{3} + 10 x

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

\frac{d}{d x} (3) = 0

= - 8 x^{3} + 10 x - 0

Vereinfache

= - 8 x^{3} + 10 x

Graph

Beliebte Beispiele

derivative f(x)=e^{4tsin(2t)}

d er i v a t i v e f (x) = e^{4 t s i n (2 t)}

y^'=e^{(t+y)},y(0)=0

y^{^{'}} = e^{(t + y)}, y (0) = 0

x^2((dy)/(dx))+4xy-y^3=0

x^{2} (\frac{d y}{d x}) + 4 x y - y^{3} = 0

limit as x approaches 2 of (3x-1)^{x^2-3x+4}

x \to 2 lim ((3 x - 1)^{x^{2} - 3 x + 4})

(\partial)/(\partial y)(ln(x/y))

\frac{\partial}{\partial y} (ln (\frac{x}{y}))