(\partial)/(\partial y)((5(y+2))/((x+2)^2))

Lösung

\frac{\partial}{\partial y} (\frac{5 ( y + 2 )}{( x + 2 ) ^{2}})

\frac{5}{( x + 2 ) ^{2}}

Schritte zur Lösung

\frac{\partial}{\partial y} (\frac{5 ( y + 2 )}{( x + 2 ) ^{2}})

Behandle

x

als Konstante

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{5}{( x + 2 ) ^{2}} \frac{\partial}{\partial y} (y + 2)

Wende die Summen-/Differenzregel an:

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

= \frac{5}{( x + 2 ) ^{2}} (\frac{\partial}{\partial y} (y) + \frac{\partial}{\partial y} (2))

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

\frac{\partial}{\partial y} (2) = 0

= \frac{5}{( x + 2 ) ^{2}} (1 + 0)

Vereinfache

= \frac{5}{( x + 2 ) ^{2}}

\frac{\partial}{\partial x} (y^{x} - ln (x^{4} y + 6 x))

\frac{\partial}{\partial y} (2 x^{2} - 3 y^{2} - 2 x)

\frac{\partial}{\partial x} (sin (x) + cos (- 6 y))

\frac{\partial}{\partial x} (\frac{5 x y ^{2}}{x ^{2} + y ^{4}})

in v erse l a pl a ce \frac{20}{s \cdot ( s + 10 )}