derivative of sec^2(x-1)

Lösung

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

2 tan (x) sec^{2} (x)

Schritte zur Lösung

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

Vereinfache

sec^{2} (x) - 1 : tan^{2} (x)

= \frac{d}{d x} (tan^{2} (x))

Wende die Kettenregel an:

2 tan (x) \frac{d}{d x} (tan (x))

= 2 tan (x) \frac{d}{d x} (tan (x))

\frac{d}{d x} (tan (x)) = sec^{2} (x)

= 2 tan (x) sec^{2} (x)

\int_{0}^{\frac{π}{2}} \frac{1}{x ^{2} + 2} d x

x \to \infty lim (\frac{x ^{5}}{x ^{10} + 9})

d er i v a t i v e f (x) = x^{2} sin (x) + 2 x cos (x)

\frac{d y}{d x} = x y + 2 y

y^{^{''}} - 10 y^{^{'}} + 25 y = \frac{4.5 e ^{5 t}}{tt + 1}