(\partial)/(\partial y)(sqrt(25-x^2-5y))

Lösung

\frac{\partial}{\partial y} (25 - x^{2} - 5 y)

- \frac{5}{2 25 - x ^{2} - 5 y}

Schritte zur Lösung

\frac{\partial}{\partial y} (25 - x^{2} - 5 y)

Behandle

x

als Konstante

Wende die Kettenregel an:

\frac{1}{2 25 - x ^{2} - 5 y} \frac{\partial}{\partial y} (25 - x^{2} - 5 y)

= \frac{1}{2 25 - x ^{2} - 5 y} \frac{\partial}{\partial y} (25 - x^{2} - 5 y)

\frac{\partial}{\partial y} (25 - x^{2} - 5 y) = - 5

= \frac{1}{2 25 - x ^{2} - 5 y} (- 5)

Vereinfache

\frac{1}{2 25 - x ^{2} - 5 y} (- 5) : - \frac{5}{2 25 - x ^{2} - 5 y}

= - \frac{5}{2 25 - x ^{2} - 5 y}

\int 6 x 1 + x^{2} d x

y^{^{''}} + 20 y^{^{'}} + 500 y = 0

x d y + y d x = 0

\int π t - t^{2} cos (n t) d t

in v erse l a pl a ce \frac{\frac{2}{3}}{s ^{2} + 2 s + 17}