derivative sqrt(r^2-15x^2)

Lösung

ableitung von

r^{2} - 15 x^{2}

- \frac{15 x}{r ^{2} - 15 x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (r^{2} - 15 x^{2})

Wende die Kettenregel an:

\frac{1}{2 r ^{2} - 15 x ^{2}} \frac{d}{d x} (r^{2} - 15 x^{2})

= \frac{1}{2 r ^{2} - 15 x ^{2}} \frac{d}{d x} (r^{2} - 15 x^{2})

\frac{d}{d x} (r^{2} - 15 x^{2}) = - 30 x

= \frac{1}{2 r ^{2} - 15 x ^{2}} (- 30 x)

Vereinfache

\frac{1}{2 r ^{2} - 15 x ^{2}} (- 30 x) : - \frac{15 x}{r ^{2} - 15 x ^{2}}

= - \frac{15 x}{r ^{2} - 15 x ^{2}}

d er i v a t i v e lo g_{7} (x e^{x})

\frac{d}{d x} (\frac{7 x}{x ^{2} + 5})

\int \frac{x ( x - 2 ) ^{2}}{x ^{4} + 1} d x

\int \frac{cos ^{2} ( x )}{cos ( x )} d x

f^{^{'}} (x) = \frac{x ^{2}}{x + 1}