derivative of cos^3(sin(2x))

Lösung

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

- 6 cos^{2} (sin (2 x)) sin (sin (2 x)) cos (2 x)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

= - 6 cos^{2} (sin (2 x)) sin (sin (2 x)) cos (2 x)

f a c t or 15 x^{4} - 4 x^{3}

\int 10 x^{\frac{3}{7}} + 7 x^{- \frac{6}{7}} d x

x \to 10 lim (x^{2})

y^{^{''}} + 0.2121 y^{^{'}} + 2 y = cos (4 x), y (0) = 0

\int \frac{( ln ( x ^{15} ) )}{x} d x