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

Lösung

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

sin (2 x)

Schritte zur Lösung

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

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= - \frac{\partial}{\partial x} (cos^{2} (x))

Wende die Kettenregel an:

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

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

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

= - 2 cos (x) (- sin (x))

Vereinfache

- 2 cos (x) (- sin (x)) : sin (2 x)

= sin (2 x)

\int \frac{x}{x ^{2} + 36} d x

\frac{\partial}{\partial x} ((3 + x^{2} - 3 y^{2})^{\frac{1}{2}})

t a y l or x^{2} e^{3 x}

y^{^{''}} - 6 y^{^{'}} - 7 y = 0, y (0) = b, y^{^{'}} (0) = 8

\int ln (x) x^{'} d x