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Beliebt Rechnen >

derivative of 3x^5-30x^3

Lösung

\frac{d}{d x} (3 x^{5} - 30 x^{3})

Lösung

15 x^{4} - 90 x^{2}

Schritte zur Lösung

\frac{d}{d x} (3 x^{5} - 30 x^{3})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (3 x^{5}) - \frac{d}{d x} (30 x^{3})

\frac{d}{d x} (3 x^{5}) = 15 x^{4}

\frac{d}{d x} (30 x^{3}) = 90 x^{2}

= 15 x^{4} - 90 x^{2}

Graph

Beliebte Beispiele

f (x) = 5 x^{2} - 3 x + 7

(\partial}{\partial x}(\frac{x^3)/3+4y)

\frac{\partial}{\partial x} (\frac{x ^{3}}{3} + 4 y)

derivative sqrt(1-y^2)

d er i v a t i v e 1 - y^{2}

(dy)/(dx)=x^8e^{x^9}

\frac{d y}{d x} = x^{8} e^{x^{9}}

limit as x approaches a+1 of x^2-1

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