derivative of sin^3(2x+x^2)

Lösung

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

6 sin^{2} (2 x) cos (2 x) + 2 x

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= 6 sin^{2} (2 x) cos (2 x) + 2 x

y^{^{''}} - 4 y + 3 y = 0

\int_{- 2}^{3} 2 x 2 x^{2} - 3 d x

\int (5 x + \frac{5}{x}) d x

\frac{d}{d x} (\frac{5 x}{1 + x ^{2}})

x \to 1 lim (\frac{x}{4 x - 1})