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

Lösung

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

- 2 e^{- y} x

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= 0 - 2 e^{- y} x

Vereinfache

= - 2 e^{- y} x

l a pl a ce t r an s f or m t^{3} e^{b \cdot t}

\frac{\partial}{\partial x} (ln (x + y^{4}))

x \to \infty lim (- \frac{x}{2})

x \to \frac{π}{2} lim (5 sin (x))

t an g e n t f (x) = - 9 x^{2}, at x = 2