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Beliebt Rechnen >

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

Lösung

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

Lösung

2 y

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{\partial}{\partial y} (e^{x^{2}}) = 0

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

= 0 + 2 y

Vereinfache

= 2 y

Beliebte Beispiele

limit as x approaches 3+of (x^2)/(x-3)

x \to 3 + lim (\frac{x ^{2}}{x - 3})

derivative of 1/(x-1+1/(x+1))

\frac{d}{d x} (\frac{1}{x - 1} + \frac{1}{x + 1})

integral of 1/(sqrt(x-5))

\int \frac{1}{x - 5} d x

derivative of x+pi

\frac{d}{d x} (x + π)

sum from n=1 to infinity of (-1)^n(1/n)

n = 1 \sum \infty (- 1)^{n} (\frac{1}{n})