(\partial)/(\partial x)(x^2-10x+y^2+8)

Lösung

\frac{\partial}{\partial x} (x^{2} - 10 x + y^{2} + 8)

2 x - 10

Schritte zur Lösung

\frac{\partial}{\partial x} (x^{2} - 10 x + y^{2} + 8)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (x^{2}) - \frac{\partial}{\partial x} (10 x) + \frac{\partial}{\partial x} (y^{2}) + \frac{\partial}{\partial x} (8)

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

\frac{\partial}{\partial x} (10 x) = 10

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

\frac{\partial}{\partial x} (8) = 0

= 2 x - 10 + 0 + 0

Vereinfache

= 2 x - 10

in v erse l a pl a ce \frac{1}{( s ^{3} + 4 s )}

l a pl a ce t r an s f or m 10 (t - 1)

(2 x - 5 y + 2) d x + (1 - 6 y - 5 x) d y = 0

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

\int \frac{x ^{- \frac{1}{3}}}{1 + x ^{\frac{1}{6}}} d x