derivative of-x^3+2x^2+11x+a

Lösung

\frac{d}{d x} (- x^{3} + 2 x^{2} + 11 x + a)

- 3 x^{2} + 4 x + 11

Schritte zur Lösung

\frac{d}{d x} (- x^{3} + 2 x^{2} + 11 x + a)

Wende die Summen-/Differenzregel an:

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

= - \frac{d}{d x} (x^{3}) + \frac{d}{d x} (2 x^{2}) + \frac{d}{d x} (11 x) + \frac{d a}{d x}

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

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

\frac{d}{d x} (11 x) = 11

\frac{d a}{d x} = 0

= - 3 x^{2} + 4 x + 11 + 0

Vereinfache

= - 3 x^{2} + 4 x + 11

d er i v a t i v e f (x) = tan (x) sin (6 x^{3})

\frac{d}{d x} (1 0^{x} - 1 0^{- x})

d er i v a t i v e f (x) = (x^{2} - \frac{2}{x})^{- 5}

x \to \infty lim (13 x (e^{\frac{1}{x}}) - 13 x)

y^{^{'}} = 8 - \frac{y}{200} 4, y (0) = 50