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Beliebt Rechnen >

derivative e^2+(sec(x)sqrt(x))

Lösung

ableitung von

e^{2} + (sec (x) x)

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (e^{2} + sec (x) x)

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (e^{2}) = 0

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

= 0 + x sec (x) tan (x) + \frac{sec ( x )}{2 x}

Vereinfache

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

Graph

Beliebte Beispiele

derivative y=(2sin(x))/5

d er i v a t i v e y = \frac{2 sin ( x )}{5}

derivative (x+7)^5

d er i v a t i v e (x + 7)^{5}

derivative y=x^4+12x

d er i v a t i v e y = x^{4} + 12 x

derivative ((3x^2+x))/((3x^2-x))

d er i v a t i v e \frac{( 3 x ^{2} + x )}{( 3 x ^{2} - x )}

derivative (x^2-x+1)e^3x

d er i v a t i v e (x^{2} - x + 1) e^{3} x