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Beliebt Rechnen >

derivative of e^{x^2+6x}

Lösung

\frac{d}{d x} (e^{x^{2} + 6 x})

Lösung

e^{x^{2} + 6 x} (2 x + 6)

Schritte zur Lösung

\frac{d}{d x} (e^{x^{2} + 6 x})

Wende die Kettenregel an:

e^{x^{2} + 6 x} \frac{d}{d x} (x^{2} + 6 x)

= e^{x^{2} + 6 x} \frac{d}{d x} (x^{2} + 6 x)

\frac{d}{d x} (x^{2} + 6 x) = 2 x + 6

= e^{x^{2} + 6 x} (2 x + 6)

Graph

Beliebte Beispiele

integral of (5x+1)^4

\int (5 x + 1)^{4} d x

(d^2)/(dx^2)(1/(x^2+1))

\frac{d ^{2}}{d x ^{2}} (\frac{1}{x ^{2} + 1})

derivative f(x)=9-|x-4|\at x

d er i v a t i v e f (x) = 9 - ∣ x - 4 ∣ at x

limit as x approaches 5-of 2/(x^2-25)

x \to 5 - lim (\frac{2}{x ^{2} - 25})

integral of (10)/((x+1)(x^2+9))

\int \frac{10}{( x + 1 ) ( x ^{2} + 9 )} d x