derivative (2x^3+5)^4

Lösung

ableitung von

(2 x^{3} + 5)^{4}

24 x^{2} (2 x^{3} + 5)^{3}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (2 x^{3} + 5) = 6 x^{2}

= 4 (2 x^{3} + 5)^{3} \cdot 6 x^{2}

Vereinfache

= 24 x^{2} (2 x^{3} + 5)^{3}

\int (x^{2} + 5 x) cos (x) d x

\frac{d y}{d x} = 0.5 y

x \to 0 + lim (\frac{∣ 2 x ∣}{x})

n \to \infty lim (A r g (- 1 + \frac{i}{n}))

in v erse l a pl a ce \frac{0.5}{s \cdot ( s ^{2} + s + 1 )}