derivative of (x^2/2+1)

Lösung

\frac{d}{d x} (\frac{x ^{2}}{2} + 1)

x

Schritte zur Lösung

\frac{d}{d x} (\frac{x ^{2}}{2} + 1)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{x ^{2}}{2}) + \frac{d}{d x} (1)

\frac{d}{d x} (\frac{x ^{2}}{2}) = x

\frac{d}{d x} (1) = 0

= x + 0

Vereinfache

= x

n = 0 \sum \infty \frac{e}{n}

\frac{\partial}{\partial x} (ln (t^{2} + 1))

f (x) = x^{6} ln (x)

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

\frac{\partial}{\partial x} (3 x sin (7 x^{2} y))