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Beliebt Rechnen >

(\partial)/(\partial y)(e^{2x-3y})

Lösung

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

Lösung

- 3 e^{2 x - 3 y}

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Kettenregel an:

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

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

\frac{\partial}{\partial y} (2 x - 3 y) = - 3

= e^{2 x - 3 y} (- 3)

Vereinfache

= - 3 e^{2 x - 3 y}

Beliebte Beispiele

(\partial)/(\partial x)(y^2+x)

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

derivative of sin(5)

\frac{d}{d x} (sin (5))

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

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

derivative f(x)= 8/x

d er i v a t i v e f (x) = \frac{8}{x}

derivative of ln(x^4sin^2(x))

\frac{d}{d x} (ln (x^{4} sin^{2} (x)))