(\partial)/(\partial x)(2y+x^2+1)

Lösung

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

2 x

Schritte zur Lösung

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

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}) + \frac{\partial}{\partial x} (1)

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

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

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

= 0 + 2 x + 0

Vereinfache

= 2 x

d er i v a t i v e y = ln (\frac{x + 3}{x ^{2}})

d er i v a t i v e 7 x - 7 e^{x}

\frac{d}{d x} (x^{3} 1 - x^{2})

n = 1 \sum \infty \frac{n !}{3 n ! - 1}

a re a y = 3 x + 1, y = 13 + 2 x - x^{2}