(\partial)/(\partial x)(e^{9x+5y})

Lösung

\frac{\partial}{\partial x} (e^{9 x + 5 y})

e^{9 x + 5 y} \cdot 9

Schritte zur Lösung

\frac{\partial}{\partial x} (e^{9 x + 5 y})

Behandle

y

als Konstante

Wende die Kettenregel an:

e^{9 x + 5 y} \frac{\partial}{\partial x} (9 x + 5 y)

= e^{9 x + 5 y} \frac{\partial}{\partial x} (9 x + 5 y)

\frac{\partial}{\partial x} (9 x + 5 y) = 9

= e^{9 x + 5 y} \cdot 9

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

\int \frac{1}{2 \cdot tan ( x )} d x

\int \frac{x}{x + 3 x} d x

\frac{d}{d x} ((\frac{1}{x ^{2}} - \frac{9}{x ^{4}}) (x + 5 x^{3}))

x \to 0 lim (2 e^{3 x})