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

Lösung

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

cos (x^{3}) \cdot 3 x^{2} + 3 sin^{2} (x) cos (x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= cos (x^{3}) \cdot 3 x^{2} + 3 sin^{2} (x) cos (x)

\frac{d}{d x} ((arctan (x))^{3})

\frac{\partial}{\partial x} (\frac{1}{f ( x )} - \frac{1}{x})

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

\int sin (\frac{1}{7}) x d x

h \to 0 lim \frac{( ( h - 5 ) ^{2} - 25 )}{( h )}