(\partial)/(\partial x)(y+e^x)

Lösung

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

e^{x}

Schritte zur Lösung

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

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^{x})

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

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

= 0 + e^{x}

Vereinfache

= e^{x}

\int_{0}^{1} \frac{2 x}{1 + x ^{4}} d x

t an g e n t f (x) = \frac{- 4 x}{x ^{2} + 1}, at x = 0

x \to 3 lim (\frac{x ^{2} - 6}{x - 3})

\frac{d ^{2}}{d x ^{2}} (\frac{2}{3 t ^{4}})

t a y l or ln (1 + 2 \cdot t), 2