(\partial)/(\partial x)(x^2+xy-10)

Lösung

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

2 x + y

Schritte zur Lösung

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

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} (x y) - \frac{\partial}{\partial x} (10)

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

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

\frac{\partial}{\partial x} (10) = 0

= 2 x + y - 0

Vereinfache

= 2 x + y

\frac{d}{d x} (2 x^{3} cos (x) sin (x))

n = 0 \sum \infty \frac{( - 1 ) ^{n}}{2}

t \to 0 lim (\frac{e ^{7 t} - 1}{sin ( t )})

\frac{\partial}{\partial x} (3 x + 7)

d er i v a t i v e x^{3 π}