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Beliebt Rechnen >

derivative of e^{sqrt(sec(x^2)})

Lösung

\frac{d}{d x} (e^{s e c (x^{2})})

Lösung

e^{s e c (x^{2})} x tan (x^{2}) sec (x^{2})

Schritte zur Lösung

\frac{d}{d x} (e^{s e c (x^{2})})

Wende die Kettenregel an:

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

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

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

= e^{s e c (x^{2})} x tan (x^{2}) sec (x^{2})

Graph

Beliebte Beispiele

limit as x approaches 0+of (ln(x+1))/x

x \to 0 + lim (\frac{ln ( x + 1 )}{x})

derivative sin(3x)+cos(8x)

d er i v a t i v e sin (3 x) + cos (8 x)

(1+x^2)((dy)/(dx))-2xy=0

(1 + x^{2}) (\frac{d y}{d x}) - 2 x y = 0

integral from pi/2 to pi of x-sin(x)

\int_{\frac{π}{2}}^{π} x - sin (x) d x

(dy)/(dx)=(3x)/(4y)

\frac{d y}{d x} = \frac{3 x}{4 y}