derivative y=sqrt(5-x^2)

Lösung

ableitung von

y = 5 - x^{2}

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

Schritte zur Lösung

\frac{d}{d x} (5 - x^{2})

Wende die Kettenregel an:

\frac{1}{2 5 - x ^{2}} \frac{d}{d x} (5 - x^{2})

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

\frac{d}{d x} (5 - x^{2}) = - 2 x

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

Vereinfache

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

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

\int (6 x + 5) 3 x^{2} + 5 x d x

t \to 0 lim (\frac{4 t ^{2} + 3 t + 2}{t ^{3} + 2 t - 6})

f (x) = - x^{2} + 3 x - 1

\int \frac{( e ^{2 x} )}{e ^{4 x} + 4} d x

\int \frac{1}{8 - 2 x - x ^{2}} d x