derivative of sqrt(25x^2-1)

Lösung

\frac{d}{d x} (25 x^{2} - 1)

\frac{25 x}{25 x ^{2} - 1}

Schritte zur Lösung

\frac{d}{d x} (25 x^{2} - 1)

Wende die Kettenregel an:

\frac{1}{2 25 x ^{2} - 1} \frac{d}{d x} (25 x^{2} - 1)

= \frac{1}{2 25 x ^{2} - 1} \frac{d}{d x} (25 x^{2} - 1)

\frac{d}{d x} (25 x^{2} - 1) = 50 x

= \frac{1}{2 25 x ^{2} - 1} \cdot 50 x

Vereinfache

\frac{1}{2 25 x ^{2} - 1} \cdot 50 x : \frac{25 x}{25 x ^{2} - 1}

= \frac{25 x}{25 x ^{2} - 1}

x \to \frac{π}{4} lim (tan^{t a n (2 x)} (x))

d er i v a t i v e f (x) = sin (5 ln (x))

\frac{d v}{d v}

x \to 0 + lim (x^{19 x})

d er i v a t i v e arcsin (6 x) + arccos (6 x)