derivative of sqrt(5+xsec(x))

Lösung

\frac{d}{d x} (5 + x sec (x))

\frac{x sec ( x ) tan ( x ) + sec ( x )}{2 5 + x sec ( x )}

Schritte zur Lösung

\frac{d}{d x} (5 + x sec (x))

Wende die Kettenregel an:

\frac{1}{2 5 + x sec ( x )} \frac{d}{d x} (5 + x sec (x))

= \frac{1}{2 5 + x sec ( x )} \frac{d}{d x} (5 + x sec (x))

\frac{d}{d x} (5 + x sec (x)) = x sec (x) tan (x) + sec (x)

= \frac{1}{2 5 + x sec ( x )} (x sec (x) tan (x) + sec (x))

Vereinfache

\frac{1}{2 5 + x sec ( x )} (x sec (x) tan (x) + sec (x)) : \frac{x sec ( x ) tan ( x ) + sec ( x )}{2 5 + x sec ( x )}

= \frac{x sec ( x ) tan ( x ) + sec ( x )}{2 5 + x sec ( x )}

x \to 2 lim (5 x - 3)

d er i v a t i v e \frac{1}{x - 2}

\frac{d}{d x} (e^{n x})

\frac{d y}{d x} = e^{4 x - 3 y}

t an g e n t 2 x^{2} - 7 x + 5, at x = 2