(\partial)/(\partial y)(sqrt(4-x^2-6y^2))

Lösung

\frac{\partial}{\partial y} (4 - x^{2} - 6 y^{2})

- \frac{6 y}{4 - x ^{2} - 6 y ^{2}}

Schritte zur Lösung

\frac{\partial}{\partial y} (4 - x^{2} - 6 y^{2})

Behandle

x

als Konstante

Wende die Kettenregel an:

\frac{1}{2 4 - x ^{2} - 6 y ^{2}} \frac{\partial}{\partial y} (4 - x^{2} - 6 y^{2})

= \frac{1}{2 4 - x ^{2} - 6 y ^{2}} \frac{\partial}{\partial y} (4 - x^{2} - 6 y^{2})

\frac{\partial}{\partial y} (4 - x^{2} - 6 y^{2}) = - 12 y

= \frac{1}{2 4 - x ^{2} - 6 y ^{2}} (- 12 y)

Vereinfache

\frac{1}{2 4 - x ^{2} - 6 y ^{2}} (- 12 y) : - \frac{6 y}{4 - x ^{2} - 6 y ^{2}}

= - \frac{6 y}{4 - x ^{2} - 6 y ^{2}}

(8 t + y + 2) d t - d y = 0

\int x^{2} 1 + 2 x d x

\int x^{2} e^{- a x} d x

s l o p e in t erce pt (3, - 29), (- 1, 7)

y^{^{''}} + 6 y^{^{'}} + 9 y = e^{- 3 t}