(\partial)/(\partial x)(-x^4)

Lösung

\frac{\partial}{\partial x} (- x^{4})

- 4 x^{3}

Schritte zur Lösung

\frac{\partial}{\partial x} (- x^{4})

Entferne die Konstante:

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

= - \frac{\partial}{\partial x} (x^{4})

Wende die Potenzregel an:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= - 4 x^{4 - 1}

Vereinfache

= - 4 x^{3}

x^{2} y^{^{''}} + 3 x y^{^{'}} + y = 0, y (1) = 3.6, y^{^{'}} (1) = 0.4

\int_{- 1}^{7} 3 x + 7 d x

\frac{\partial}{\partial x} ((x - 4) ln (x y))

\int - x cos (x) + x d x

\int_{0}^{l} cos (\frac{π y}{2 l}) d y