derivative of-x^4+50x^2-300

Lösung

\frac{d}{d x} (- x^{4} + 50 x^{2} - 300)

- 4 x^{3} + 100 x

Schritte zur Lösung

\frac{d}{d x} (- x^{4} + 50 x^{2} - 300)

Wende die Summen-/Differenzregel an:

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

= - \frac{d}{d x} (x^{4}) + \frac{d}{d x} (50 x^{2}) - \frac{d}{d x} (300)

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

\frac{d}{d x} (50 x^{2}) = 100 x

\frac{d}{d x} (300) = 0

= - 4 x^{3} + 100 x - 0

Vereinfache

= - 4 x^{3} + 100 x

\int_{2}^{\infty} x e^{- 5 x} d x

x \to 0 + lim (tan (x^{2}) ln (x))

\frac{d y}{d x} - y = 1

\int sec (\frac{x}{7}) d x

\int_{5}^{6} \frac{1}{( x - 5 ) ^{\frac{3}{2}}} d x