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Beliebt Rechnen >

(\partial)/(\partial x)(2x^{0.5}+y)

Lösung

\frac{\partial}{\partial x} (2 x^{0.5} + y)

Lösung

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

Schritte zur Lösung

\frac{\partial}{\partial x} (2 x^{0.5} + y)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (2 x^{0.5}) + \frac{\partial}{\partial x} (y)

\frac{\partial}{\partial x} (2 x^{0.5}) = \frac{1}{x ^{0.5}}

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

= \frac{1}{x ^{0.5}} + 0

Vereinfache

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

Beliebte Beispiele

(x+1)(dy)/(dx)+xy=ln(x)

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

derivative f(x)=8xe^xcsc(x)

d er i v a t i v e f (x) = 8 x e^{x} csc (x)

derivative of sqrt(7)x

\frac{d}{d x} (7 x)

integral from 6 to 8 of (40)/((x-6)^3)

\int_{6}^{8} \frac{40}{( x - 6 ) ^{3}} d x

integral of 1/(8x-1)

\int \frac{1}{8 x - 1} d x