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Beliebt Rechnen >

derivative of e^{ax}+arctan(cx)

Lösung

\frac{d}{d x} (e^{a x} + arctan (c x))

Lösung

e^{a x} a + \frac{c}{c ^{2} x ^{2} + 1}

Schritte zur Lösung

\frac{d}{d x} (e^{a x} + arctan (c x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (e^{a x}) + \frac{d}{d x} (arctan (c x))

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

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

= e^{a x} a + \frac{c}{c ^{2} x ^{2} + 1}

Graph

Beliebte Beispiele

derivative y= 7/(3x^4)

d er i v a t i v e y = \frac{7}{3 x ^{4}}

integral of (x^3)/((a^2+x^2)^2)

\int \frac{x ^{3}}{( a ^{2} + x ^{2} ) ^{2}} d x

limit as x approaches-1-of (x^2)/(1+x^3)

x \to - 1 - lim (\frac{x ^{2}}{1 + x ^{3}})

integral from-2 to 4 of 1/2

\int_{- 2}^{4} \frac{1}{2} d x

derivative of ce^x

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