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Beliebt Rechnen >

derivative of sqrt(7+xsec(x))

Lösung

\frac{d}{d x} (7 + x sec (x))

Lösung

\frac{x sec ( x ) tan ( x ) + sec ( x )}{2 7 + x sec ( x )}

Schritte zur Lösung

\frac{d}{d x} (7 + x sec (x))

Wende die Kettenregel an:

\frac{1}{2 7 + x sec ( x )} \frac{d}{d x} (7 + x sec (x))

= \frac{1}{2 7 + x sec ( x )} \frac{d}{d x} (7 + x sec (x))

\frac{d}{d x} (7 + x sec (x)) = x sec (x) tan (x) + sec (x)

= \frac{1}{2 7 + x sec ( x )} (x sec (x) tan (x) + sec (x))

Vereinfache

\frac{1}{2 7 + x sec ( x )} (x sec (x) tan (x) + sec (x)) : \frac{x sec ( x ) tan ( x ) + sec ( x )}{2 7 + x sec ( x )}

= \frac{x sec ( x ) tan ( x ) + sec ( x )}{2 7 + x sec ( x )}

Graph

Beliebte Beispiele

integral of xe^{-x}

\int x e^{- x} d x

derivative of ccost+t^2sin(t)

\frac{d}{d x} (ccos t + t^{2} sin (t))

fläche x^2+2x+11,-4x+2,0

a re a x^{2} + 2 x + 11, - 4 x + 2, 0

derivative f(x)=8xe^{9x}

d er i v a t i v e f (x) = 8 x e^{9 x}

integral of (cos(x)+1/5 x)

\int (cos (x) + \frac{1}{5} x) d x