(\partial)/(\partial x)(sqrt(13-x^2-y^2))

Lösung

\frac{\partial}{\partial x} (13 - x^{2} - y^{2})

- \frac{x}{13 - x ^{2} - y ^{2}}

Schritte zur Lösung

\frac{\partial}{\partial x} (13 - x^{2} - y^{2})

Behandle

y

als Konstante

Wende die Kettenregel an:

\frac{1}{2 13 - x ^{2} - y ^{2}} \frac{\partial}{\partial x} (13 - x^{2} - y^{2})

= \frac{1}{2 13 - x ^{2} - y ^{2}} \frac{\partial}{\partial x} (13 - x^{2} - y^{2})

\frac{\partial}{\partial x} (13 - x^{2} - y^{2}) = - 2 x

= \frac{1}{2 13 - x ^{2} - y ^{2}} (- 2 x)

Vereinfache

\frac{1}{2 13 - x ^{2} - y ^{2}} (- 2 x) : - \frac{x}{13 - x ^{2} - y ^{2}}

= - \frac{x}{13 - x ^{2} - y ^{2}}

\int 9 sin^{2} (x co) s^{3} x d x

\int_{0}^{1} x^{2} e^{3 x} d x

f (x) = cos (cos (cos (x)))

\int_{- 8}^{1} \frac{1}{3 x} d x

t a y l or x^{- 2}, 1