derivative sqrt(r^2-13x^2)

Lösung

ableitung von

r^{2} - 13 x^{2}

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

Schritte zur Lösung

\frac{d}{d x} (r^{2} - 13 x^{2})

Wende die Kettenregel an:

\frac{1}{2 r ^{2} - 13 x ^{2}} \frac{d}{d x} (r^{2} - 13 x^{2})

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

\frac{d}{d x} (r^{2} - 13 x^{2}) = - 26 x

= \frac{1}{2 r ^{2} - 13 x ^{2}} (- 26 x)

Vereinfache

\frac{1}{2 r ^{2} - 13 x ^{2}} (- 26 x) : - \frac{13 x}{r ^{2} - 13 x ^{2}}

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

y^{^{'}} = 3 - 2 x - 0.5 y, y (0) = 1

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