(\partial)/(\partial x)(2x^{1/2}+y)

Lösung

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

\frac{1}{x ^{\frac{1}{2}}}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= \frac{1}{x ^{\frac{1}{2}}} + 0

Vereinfache

= \frac{1}{x ^{\frac{1}{2}}}

d er i v a t i v e f (x) = 9 x + 7

\int \frac{3}{6 + 3 x} d x

\int \frac{2}{nπ} sin (\frac{nπ x}{2}) d x

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