(\partial)/(\partial x)(sqrt(x^2+y^2)+xy)

Lösung

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

\frac{x}{x ^{2} + y ^{2}} + y

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= \frac{x}{x ^{2} + y ^{2}} + y

\int_{- \infty}^{0} e^{6 x} d x

\frac{d}{d x} (ln (5^{x}))

\frac{\partial}{\partial x} (\frac{- 4}{x + y})

d er i v a t i v e y = \frac{1}{7 x ^{\frac{6}{7}}}

t an g e n t f (x) = x^{2} - 7, (4, 9)