(\partial)/(\partial x)(cos^2(5x))

Lösung

\frac{\partial}{\partial x} (cos^{2} (5 x))

- 5 sin (10 x)

Schritte zur Lösung

\frac{\partial}{\partial x} (cos^{2} (5 x))

Wende die Kettenregel an:

2 cos (5 x) \frac{\partial}{\partial x} (cos (5 x))

= 2 cos (5 x) \frac{\partial}{\partial x} (cos (5 x))

\frac{\partial}{\partial x} (cos (5 x)) = - sin (5 x) \cdot 5

= 2 cos (5 x) (- sin (5 x) \cdot 5)

Vereinfache

2 cos (5 x) (- sin (5 x) \cdot 5) : - 5 sin (10 x)

= - 5 sin (10 x)

5 y^{^{''}} + y^{^{'}} = - 6 x, y (0) = 0, y^{^{'}} (0) = - 20

t an g e n t f (x) = 6 tan (x), at x = \frac{π}{3}

\int sin^{3} (2 x) cos^{8} (2 x) d x

\frac{\partial}{\partial x} (x^{3} y^{4})

d er i v a t i v e \frac{x - 4}{x + 4}