(\partial)/(\partial x)(e^{(y+1)x})

Lösung

\frac{\partial}{\partial x} (e^{(y + 1) x})

e^{(y + 1) x} (y + 1)

Schritte zur Lösung

\frac{\partial}{\partial x} (e^{(y + 1) x})

Behandle

y

als Konstante

Wende die Kettenregel an:

e^{(y + 1) x} \frac{\partial}{\partial x} ((y + 1) x)

= e^{(y + 1) x} \frac{\partial}{\partial x} ((y + 1) x)

\frac{\partial}{\partial x} ((y + 1) x) = y + 1

= e^{(y + 1) x} (y + 1)

d er i v a t i v e f (x) = \frac{x ^{3} + 9 x ^{2} + x - 8}{x}

\frac{\partial}{\partial x} (4 a x)

\frac{d}{d x} ((x^{2} + 6)^{9})

\frac{d}{d x} (cosh (4 x))

\frac{\partial}{\partial y} (e^{2 x + 3 y})