derivative of [x+(x+sin^2(x)^3]^6)

Lösung

\frac{d}{d x} ([x + (x + sin^{2} (x))^{3}]^{6})

6 (x + (x + sin^{2} (x))^{3})^{5} (1 + 3 (x + sin^{2} (x))^{2} (1 + sin (2 x)))

Schritte zur Lösung

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

Wende die Kettenregel an:

6 (x + (x + sin^{2} (x))^{3})^{5} \frac{d}{d x} (x + (x + sin^{2} (x))^{3})

= 6 (x + (x + sin^{2} (x))^{3})^{5} \frac{d}{d x} (x + (x + sin^{2} (x))^{3})

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

= 6 (x + (x + sin^{2} (x))^{3})^{5} (1 + 3 (x + sin^{2} (x))^{2} (1 + sin (2 x)))

\frac{d}{d x} (\frac{sec ( x )}{x})

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

\int \frac{x}{2} d x

t an g e n t f (x) = 3 x^{2} + 9 x^{3} - 5 x, at x = - 4

in v erse l a pl a ce \frac{1}{2 ( s + 2 )}