derivative of 3x^3+5x^2-4x+10

Lösung

\frac{d}{d x} (3 x^{3} + 5 x^{2} - 4 x + 10)

9 x^{2} + 10 x - 4

Schritte zur Lösung

\frac{d}{d x} (3 x^{3} + 5 x^{2} - 4 x + 10)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (3 x^{3}) + \frac{d}{d x} (5 x^{2}) - \frac{d}{d x} (4 x) + \frac{d}{d x} (10)

\frac{d}{d x} (3 x^{3}) = 9 x^{2}

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

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

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

= 9 x^{2} + 10 x - 4 + 0

Vereinfache

= 9 x^{2} + 10 x - 4

\int tan^{2} (6 x) sec^{4} (6 x) d x

a re a x^{3}, - x, 8

\int_{0}^{6} 9 4 x + 1 d x

36 y^{^{''}} - y = 0, y (- 5) = 1, y^{^{'}} (- 5) = - 1

y^{^{''}} - y^{^{'}} = 0