derivative of sin(4sqrt(1-2x^3))

Lösung

\frac{d}{d x} (sin (4 1 - 2 x^{3}))

- \frac{12 x ^{2} cos ( 4 1 - 2 x ^{3} )}{1 - 2 x ^{3}}

Schritte zur Lösung

\frac{d}{d x} (sin (4 1 - 2 x^{3}))

Wende die Kettenregel an:

cos (4 1 - 2 x^{3}) \frac{d}{d x} (4 1 - 2 x^{3})

= cos (4 1 - 2 x^{3}) \frac{d}{d x} (4 1 - 2 x^{3})

\frac{d}{d x} (4 1 - 2 x^{3}) = - \frac{12 x ^{2}}{1 - 2 x ^{3}}

= cos (4 1 - 2 x^{3}) (- \frac{12 x ^{2}}{1 - 2 x ^{3}})

Vereinfache

cos (4 1 - 2 x^{3}) (- \frac{12 x ^{2}}{1 - 2 x ^{3}}) : - \frac{12 x ^{2} cos ( 4 1 - 2 x ^{3} )}{1 - 2 x ^{3}}

= - \frac{12 x ^{2} cos ( 4 1 - 2 x ^{3} )}{1 - 2 x ^{3}}

\int \frac{( ln ( x ) )}{x} d x

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

x \to 0 lim (\frac{arcsin ( 3 x )}{x})

d er i v a t i v e x^{\frac{1}{2}} (2 x^{\frac{1}{2}} - 1)

a re a - \frac{1}{5} x^{2} - \frac{6}{5} x + \frac{7}{5}, [- 5, 5]