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

Lösung

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

4 e^{- 2 y x^{2}} y x

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial x} (y) = 0

\frac{\partial}{\partial x} (e^{- 2 x^{2} y}) = - 4 y e^{- 2 y x^{2}} x

= 0 - (- 4 y e^{- 2 y x^{2}} x)

Vereinfache

= 4 e^{- 2 y x^{2}} y x

\int \frac{2}{x ^{2} + 1} - x^{2} d x

d er i v a t i v e f (2) = - x^{2} + 6 x - 3

\frac{d}{d x} (\frac{1}{4} sin (4 x))

n = 1 \sum \infty (\frac{2}{3})^{n - 1}

x \to o lim (f (x))