(\partial)/(\partial x)(sqrt(6-x^3-y^5))

Lösung

\frac{\partial}{\partial x} (6 - x^{3} - y^{5})

- \frac{3 x ^{2}}{2 6 - x ^{3} - y ^{5}}

Schritte zur Lösung

\frac{\partial}{\partial x} (6 - x^{3} - y^{5})

Behandle

y

als Konstante

Wende die Kettenregel an:

\frac{1}{2 6 - x ^{3} - y ^{5}} \frac{\partial}{\partial x} (6 - x^{3} - y^{5})

= \frac{1}{2 6 - x ^{3} - y ^{5}} \frac{\partial}{\partial x} (6 - x^{3} - y^{5})

\frac{\partial}{\partial x} (6 - x^{3} - y^{5}) = - 3 x^{2}

= \frac{1}{2 6 - x ^{3} - y ^{5}} (- 3 x^{2})

Vereinfache

\frac{1}{2 6 - x ^{3} - y ^{5}} (- 3 x^{2}) : - \frac{3 x ^{2}}{2 6 - x ^{3} - y ^{5}}

= - \frac{3 x ^{2}}{2 6 - x ^{3} - y ^{5}}

\frac{d}{d x} (arcsec (7 x))

d er i v a t i v e \frac{2 x ^{2} + 4 x}{( x + 1 ) ^{2}}

\frac{d y}{d x} + \frac{1}{x} y = \frac{1}{y}

\int_{- \infty}^{- 4} x e^{x} d x

t an g e n t f (x) = x^{2} - 2, (2, 2)