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Beliebt Rechnen >

derivative of sin(e^x(x^2-x))

Lösung

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

Lösung

cos (e^{x} (x^{2} - x)) (e^{x} x^{2} + e^{x} x - e^{x})

Schritte zur Lösung

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

Wende die Kettenregel an:

cos (e^{x} (x^{2} - x)) \frac{d}{d x} (e^{x} (x^{2} - x))

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

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

= cos (e^{x} (x^{2} - x)) (e^{x} x^{2} + e^{x} x - e^{x})

Graph

Beliebte Beispiele

tangent 2x^2-2x-4,\at x=1

t an g e n t 2 x^{2} - 2 x - 4, at x = 1

derivative (cos(x))/(x^5)

d er i v a t i v e \frac{cos ( x )}{x ^{5}}

derivative of x/(6-x)

\frac{d}{d x} (\frac{x}{6 - x})

limit as x approaches 2 of 8-3x+12x^2

x \to 2 lim (8 - 3 x + 12 x^{2})

derivative of (56/(x^9))

\frac{d}{d x} (\frac{56}{x ^{9}})