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Beliebt Rechnen >

derivative of 1+40x^3-3x^5

Lösung

\frac{d}{d x} (1 + 40 x^{3} - 3 x^{5})

Lösung

- 15 x^{4} + 120 x^{2}

Schritte zur Lösung

\frac{d}{d x} (1 + 40 x^{3} - 3 x^{5})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (1) + \frac{d}{d x} (40 x^{3}) - \frac{d}{d x} (3 x^{5})

\frac{d}{d x} (1) = 0

\frac{d}{d x} (40 x^{3}) = 120 x^{2}

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

= 0 + 120 x^{2} - 15 x^{4}

Vereinfache

= - 15 x^{4} + 120 x^{2}

Graph

Beliebte Beispiele

limit as x approaches 2 of 1680x^3-120x

x \to 2 lim (1680 x^{3} - 120 x)

integral of (2x-5)/(x^2+2x+2)

\int \frac{2 x - 5}{x ^{2} + 2 x + 2} d x

sum from n=0 to infinity of 1/n x^n

n = 0 \sum \infty \frac{1}{n} x^{n}

integral of sec^3(z)

\int sec^{3} (z) d z

derivative of sin((pix/3))

\frac{d}{d x} (sin (\frac{π x}{3}))