derivative of sin^2(x+1)

Lösung

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

sin (2 x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (1) = 0

= sin (2 x) + 0

Vereinfache

= sin (2 x)

x \to 0 - lim (\frac{8 x ^{4} - 3 x}{x})

x \to 0 lim (2 x - 2)

\int_{0}^{1} x^{3} 1 - x d x

\frac{d}{d x} (\frac{2 x}{( 3 y ^{2} )})

\int_{0}^{L} (3 a x^{2} + 2 b x + c)^{2} d x