derivative of 3x^5-5x^3-10

Lösung

\frac{d}{d x} (3 x^{5} - 5 x^{3} - 10)

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

Schritte zur Lösung

\frac{d}{d x} (3 x^{5} - 5 x^{3} - 10)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (3 x^{5}) - \frac{d}{d x} (5 x^{3}) - \frac{d}{d x} (10)

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

\frac{d}{d x} (5 x^{3}) = 15 x^{2}

\frac{d}{d x} (10) = 0

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

Vereinfache

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

d er i v a t i v e (4 t - 1) (3 t - 6)^{- 1}

y^{^{''}} + 4 y^{^{'}} + 4 y = 0, y (- 1) = 2, y^{^{'}} (- 1) = 1

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\frac{d}{d x} (2 cos (x) + 1)

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