derivative sqrt(64-x^2)

Lösung

ableitung von

64 - x^{2}

- \frac{x}{64 - x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (64 - x^{2})

Wende die Kettenregel an:

\frac{1}{2 64 - x ^{2}} \frac{d}{d x} (64 - x^{2})

= \frac{1}{2 64 - x ^{2}} \frac{d}{d x} (64 - x^{2})

\frac{d}{d x} (64 - x^{2}) = - 2 x

= \frac{1}{2 64 - x ^{2}} (- 2 x)

Vereinfache

\frac{1}{2 64 - x ^{2}} (- 2 x) : - \frac{x}{64 - x ^{2}}

= - \frac{x}{64 - x ^{2}}

h \to 0 lim (- \frac{1}{x ( x + h )})

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

f (x) = x^{e^{x}}

\frac{d}{d x} (4^{2 x})

d er i v a t i v e f (x) = \frac{8 x ^{2} + 8 x + 2}{x}