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Beliebt Rechnen >

derivative e^{arctan(3x^2)}

Lösung

ableitung von

e^{a r c t a n (3 x^{2})}

Lösung

\frac{6 e ^{a r c t a n (3 x^{2})} x}{9 x ^{4} + 1}

Schritte zur Lösung

\frac{d}{d x} (e^{a r c t a n (3 x^{2})})

Wende die Kettenregel an:

e^{a r c t a n (3 x^{2})} \frac{d}{d x} (arctan (3 x^{2}))

= e^{a r c t a n (3 x^{2})} \frac{d}{d x} (arctan (3 x^{2}))

\frac{d}{d x} (arctan (3 x^{2})) = \frac{6 x}{9 x ^{4} + 1}

= e^{a r c t a n (3 x^{2})} \frac{6 x}{9 x ^{4} + 1}

Multipliziere Brüche:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{6 e ^{a r c t a n (3 x^{2})} x}{9 x ^{4} + 1}

Graph

Beliebte Beispiele

(d^3)/(dx^3)(x/(x+1))

\frac{d ^{3}}{d x ^{3}} (\frac{x}{x + 1})

(\partial ^2)/(\partial y^2)(y^5sin(3x))

\frac{\partial ^{2}}{\partial y ^{2}} (y^{5} sin (3 x))

maclaurin (e^x+e^{-x})/2

ma c l a u r in \frac{e ^{x} + e ^{- x}}{2}

integral of 2x(x^2+7)^9

\int 2 x (x^{2} + 7)^{9} d x

sum from n=1 to infinity of 1/(5n^2-n)

n = 1 \sum \infty \frac{1}{5 n ^{2} - n}