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

Lösung

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

4 x^{3} - 6 x + 5

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (3 x^{2}) = 6 x

\frac{d}{d x} (5 x) = 5

\frac{d}{d x} (2) = 0

= 4 x^{3} - 6 x + 5 + 0

Vereinfache

= 4 x^{3} - 6 x + 5

x \to \infty lim (- 3 + \frac{4}{x})

\frac{d}{d x} (sec (x))

y^{^{''}} - 4 y^{^{'}} + 8 y = - 28 cos (2 t) - 16 sin (2 t)

\int \frac{1}{( x ^{2} + x )} d x

x \to \infty lim (x^{5})