derivative sin(\sqrt[3]{x+1})

Lösung

ableitung von

sin (3 x + 1)

\frac{cos ( 3 x + 1 )}{3 ( x + 1 ) ^{\frac{2}{3}}}

Schritte zur Lösung

\frac{d}{d x} (sin (3 x + 1))

Wende die Kettenregel an:

cos (3 x + 1) \frac{d}{d x} (3 x + 1)

= cos (3 x + 1) \frac{d}{d x} (3 x + 1)

\frac{d}{d x} (3 x + 1) = \frac{1}{3 ( x + 1 ) ^{\frac{2}{3}}}

= cos (3 x + 1) \frac{1}{3 ( x + 1 ) ^{\frac{2}{3}}}

Vereinfache

cos (3 x + 1) \frac{1}{3 ( x + 1 ) ^{\frac{2}{3}}} : \frac{cos ( 3 x + 1 )}{3 ( x + 1 ) ^{\frac{2}{3}}}

= \frac{cos ( 3 x + 1 )}{3 ( x + 1 ) ^{\frac{2}{3}}}

d er i v a t i v e - \frac{8}{x ^{2}} - \frac{8}{x}

\int_{2}^{3} \frac{20}{3 - x} d x

\frac{\partial}{\partial x} (3 cos (x y))

ma c l a u r in \frac{1}{( 1 - 3 \cdot x ^{3} ) ^{3}}

t an g e n t f (x) = 10 x, (10, 10)