(\partial)/(\partial x)(1/2 x^2)

Lösung

\frac{\partial}{\partial x} (\frac{1}{2} x^{2})

x

Schritte zur Lösung

\frac{\partial}{\partial x} (\frac{1}{2} x^{2})

Entferne die Konstante:

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

= \frac{1}{2} \frac{\partial}{\partial x} (x^{2})

Wende die Potenzregel an:

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

= \frac{1}{2} \cdot 2 x^{2 - 1}

Vereinfache

\frac{1}{2} \cdot 2 x^{2 - 1} : x

= x

θ \to - \frac{π}{2} - lim (sec (θ))

y^{^{''}} + 6 y^{^{'}} + 18 y = 0

y \to 0 lim (cot (5 y))

\frac{\partial}{\partial x} (\frac{e ^{x}}{y + x ^{2}})

x \to 2 lim (\frac{4}{x - 2})