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Beliebt Rechnen >

derivative of e^{5x^5}

Lösung

\frac{d}{d x} (e^{5 x^{5}})

Lösung

e^{5 x^{5}} \cdot 25 x^{4}

Schritte zur Lösung

\frac{d}{d x} (e^{5 x^{5}})

Wende die Kettenregel an:

e^{5 x^{5}} \frac{d}{d x} (5 x^{5})

= e^{5 x^{5}} \frac{d}{d x} (5 x^{5})

\frac{d}{d x} (5 x^{5}) = 25 x^{4}

= e^{5 x^{5}} \cdot 25 x^{4}

Graph

Beliebte Beispiele

derivative of-4cos(x+xsin(x))

\frac{d}{d x} (- 4 cos (x) + x sin (x))

limit as x approaches 0 of x+1

x \to 0 lim (x + 1)

fläche 1/(x+1),((x-1))/2

a re a \frac{1}{x + 1}, \frac{( x - 1 )}{2}

integral of 1/(9-16x^2)

\int \frac{1}{9 - 16 x ^{2}} d x

f(t)=4tsqrt(t+\sqrt{t)}

f (t) = 4 t t + t