(\partial)/(\partial y)(y/x+4x)

Lösung

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

\frac{1}{x}

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

\frac{\partial}{\partial y} (4 x) = 0

= \frac{1}{x} + 0

Vereinfache

= \frac{1}{x}

\int (x^{2} + x^{5}) 3 x^{6} + 2 x^{3} d x

d er i v a t i v e - 3 x^{5}

\frac{d}{d x} (arcsec (3 x + 2))

x \to \frac{7 π}{2} - lim (sec (x))

t an g e n t f (x) = \frac{2 x}{3 - 4 x ^{3}}, at x = \frac{1}{2}