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Beliebt Rechnen >

(\partial)/(\partial y)(e^{yx^2})

Lösung

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

Lösung

e^{y x^{2}} x^{2}

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Kettenregel an:

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

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

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

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

Beliebte Beispiele

integral of (70)/((x+1)(x^2+9)^2)

\int \frac{70}{( x + 1 ) ( x ^{2} + 9 ) ^{2}} d x

limit as x approaches 1+of (x+7)/(x+2)

x \to 1 + lim (\frac{x + 7}{x + 2})

derivative x-ln(x)

d er i v a t i v e x - ln (x)

implicit (dy)/(dx),y=2x

im pl i c i t \frac{d y}{d x}, y = 2 x

fläche 7x, 1/2 x,18-x^2

a re a 7 x, \frac{1}{2} x, 18 - x^{2}