derivative of sec(x-tan(x))

Lösung

\frac{d}{d x} (sec (x) - tan (x))

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

Schritte zur Lösung

\frac{d}{d x} (sec (x) - tan (x))

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (sec (x)) - \frac{d}{d x} (tan (x))

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

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

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

x \to 0 lim (sech^{2} (x))

\frac{\partial}{\partial r} (r sin (t))

\int cot^{5} (x) csc^{3} (x) d x

x \to 2 lim (3 x^{4})

\frac{\partial}{\partial x} (x^{3} + x y)