d/(dy)(x+3y^{1/3})

Lösung

\frac{d}{d y} (x + 3 y^{\frac{1}{3}})

\frac{1}{y ^{\frac{2}{3}}}

Schritte zur Lösung

\frac{d}{d y} (x + 3 y^{\frac{1}{3}})

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{d x}{d y} + \frac{d}{d y} (3 y^{\frac{1}{3}})

\frac{d x}{d y} = 0

\frac{d}{d y} (3 y^{\frac{1}{3}}) = \frac{1}{y ^{\frac{2}{3}}}

= 0 + \frac{1}{y ^{\frac{2}{3}}}

Vereinfache

= \frac{1}{y ^{\frac{2}{3}}}

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

d er i v a t i v e f (x) = (x)^{(3)} e^{(3 x)}

x \to 0 + lim ((tan (x))^{x})

\int 9 x 1 - x^{4} d x

2 cos (x) d y = (y sin (x) - y^{3}) d x