(\partial)/(\partial y)(xe^y+cos(y))

Lösung

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

x e^{y} - sin (y)

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

\frac{\partial}{\partial y} (cos (y)) = - sin (y)

= x e^{y} - sin (y)

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

x \to 5 + lim (\frac{1}{( x - 5 ) ^{2}})

d er i v a t i v e f (x) = \frac{1 + x}{1 - x}

x \to 1 lim (e^{4 x^{2} - 4 x})

\int x^{2} 2 x + 3 d x