(\partial)/(\partial x)(x+3y^{1/3})

Lösung

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

1

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

\frac{\partial}{\partial x} (3 y^{\frac{1}{3}}) = 0

= 1 + 0

Vereinfache

= 1

- y^{^{'}} + \frac{3 y}{x} = \frac{y ^{2}}{x}

\frac{d}{d x} (\frac{7 x ^{2} + 3 x + 7}{x})

x \to 0 + lim (7 (\frac{1}{x} - cot (x)))

d er i v a t i v e y = x^{x}

x \to + π + lim (csc (x))