(\partial)/(\partial y)(x^2e^{5y})

Lösung

\frac{\partial}{\partial y} (x^{2} e^{5 y})

x^{2} e^{5 y} \cdot 5

Schritte zur Lösung

\frac{\partial}{\partial y} (x^{2} e^{5 y})

Behandle

x

als Konstante

Entferne die Konstante:

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

= x^{2} \frac{\partial}{\partial y} (e^{5 y})

Wende die Kettenregel an:

e^{5 y} \frac{\partial}{\partial y} (5 y)

= e^{5 y} \frac{\partial}{\partial y} (5 y)

\frac{\partial}{\partial y} (5 y) = 5

= x^{2} e^{5 y} \cdot 5

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\int \frac{1}{100 - x} d x

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\int_{1}^{2} (x^{2} - 5 x + 3) d x