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Beliebt Rechnen >

(\partial)/(\partial y)(4xy+3)

Lösung

\frac{\partial}{\partial y} (4 x y + 3)

Lösung

4 x

Schritte zur Lösung

\frac{\partial}{\partial y} (4 x y + 3)

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial y} (4 x y) + \frac{\partial}{\partial y} (3)

\frac{\partial}{\partial y} (4 x y) = 4 x

\frac{\partial}{\partial y} (3) = 0

= 4 x + 0

Vereinfache

= 4 x

Beliebte Beispiele

tangent y=12xsin(x),(pi/2 ,6pi)

t an g e n t y = 12 x sin (x), (\frac{π}{2}, 6 π)

integral from 0 to pi/2 of (cos(x))^3

\int_{0}^{\frac{π}{2}} (cos (x))^{3} d x

tangent y= 3/x ,(-5,-3/5)

t an g e n t y = \frac{3}{x}, (- 5, - \frac{3}{5})

derivative of sqrt(-x^2+4)

\frac{d}{d x} (- x^{2} + 4)

derivative 4^x-2^x

d er i v a t i v e 4^{x} - 2^{x}