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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

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

Vereinfache

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

Beliebte Beispiele

derivative y= 7/(sqrt(x-1))

d er i v a t i v e y = \frac{7}{x - 1}

derivative 4cos(5ln(x))

d er i v a t i v e 4 cos (5 ln (x))

faktorisieren (cos(t)+tsin(t))+(sin(t)-tcos(t))

f a c t or (cos (t) + t sin (t)) + (sin (t) - t cos (t))

integral of 9x^4cos(x^5+6)

\int 9 x^{4} cos (x^{5} + 6) d x

(\partial)/(\partial x)(asin(x)cos(y))

\frac{\partial}{\partial x} (a sin (x) cos (y))