(\partial)/(\partial x)(sqrt(16-x^2))

Lösung

\frac{\partial}{\partial x} (16 - x^{2})

- \frac{x}{16 - x ^{2}}

Schritte zur Lösung

\frac{\partial}{\partial x} (16 - x^{2})

Wende die Kettenregel an:

\frac{1}{2 16 - x ^{2}} \frac{\partial}{\partial x} (16 - x^{2})

= \frac{1}{2 16 - x ^{2}} \frac{\partial}{\partial x} (16 - x^{2})

\frac{\partial}{\partial x} (16 - x^{2}) = - 2 x

= \frac{1}{2 16 - x ^{2}} (- 2 x)

Vereinfache

\frac{1}{2 16 - x ^{2}} (- 2 x) : - \frac{x}{16 - x ^{2}}

= - \frac{x}{16 - x ^{2}}

d er i v a t i v e f (x) = \frac{cos ( x )}{2 + sin ( x )}

d er i v a t i v e f (x) = \frac{x}{x ^{2} + 7 x + 6}

l a pl a ce t r an s f or m 3 + t

d er i v a t i v e y = x^{2} + 4

\frac{d y}{d x} = (x - 3) e^{(- 2 y)}