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

Lösung

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

4 x^{3} - 10 x

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

\frac{d}{d x} (4) = 0

= 4 x^{3} - 10 x + 0

Vereinfache

= 4 x^{3} - 10 x

d er i v a t i v e y = \frac{4}{( 4 - x ^{4} ) ^{\frac{3}{2}}}

\int_{0}^{\frac{π}{2}} 9 (cos (x))^{2} d x

\frac{d}{d x} (x^{3} + 3 x^{2} - 24 x)

a re a 4 x + 4, 4 x - 16, [- 1, 5.25]

x \to - 9 lim (\frac{∣ x + 9 ∣}{x + 9})