(\partial)/(\partial y)(2x^4y-1)

Lösung

\frac{\partial}{\partial y} (2 x^{4} y - 1)

2 x^{4}

Schritte zur Lösung

\frac{\partial}{\partial y} (2 x^{4} y - 1)

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial y} (2 x^{4} y) - \frac{\partial}{\partial y} (1)

\frac{\partial}{\partial y} (2 x^{4} y) = 2 x^{4}

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

= 2 x^{4} - 0

Vereinfache

= 2 x^{4}

\int (cos (x) + 2 cos (2 x))^{2} d x

t an g e n t f (x) = 10 x sin (x), at x = \frac{π}{2}

\frac{\partial}{\partial x} (\frac{1}{4 - x ^{2}})

x \to 0 lim (\frac{x ^{2}}{x ^{4}})

\frac{d}{d x} (x^{3} - 3 x^{2} - 8 x + 2)