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

Lösung

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

- \frac{2 e ^{\frac{2}{x}}}{x ^{2}}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= e^{\frac{2}{x}} (- \frac{2}{x ^{2}})

Vereinfache

e^{\frac{2}{x}} (- \frac{2}{x ^{2}}) : - \frac{2 e ^{\frac{2}{x}}}{x ^{2}}

= - \frac{2 e ^{\frac{2}{x}}}{x ^{2}}

\int_{3}^{\infty} 1

\int (2 x - 7)^{5} d x

y^{^{''}} - 4 \cdot y^{^{'}} - 12 \cdot y = sin (2 \cdot t)

\int_{t + 2}^{t + 4} 3 d x

s l o p e y = (4 x + 1)^{2}, (0, 1)