(\partial)/(\partial x)(x^{y+z})

Lösung

\frac{\partial}{\partial x} (x^{y + z})

(y + z) x^{y + z - 1}

Schritte zur Lösung

\frac{\partial}{\partial x} (x^{y + z})

Behandle

y, z

als Konstanten

Wende die Potenzregel an:

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

= (y + z) x^{y + z - 1}

\int x^{2} ln (2 x - 3) d x

x \to - 1 lim (x^{2} + 5 x + 6)

y^{^{''}} - 7 y^{^{'}} = - 3

\frac{\partial}{\partial x} (t^{3} e^{- \frac{x ^{2}}{2 t}})

\int_{0}^{7} 4 + 3 x d x