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Beliebt Rechnen >

derivative of e^{sqrt(x^2+1)}

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Multipliziere Brüche:

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

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

Graph

Beliebte Beispiele

y^{^{'}} = 20 - 5 y

integral of sin^2(x)x

\int sin^{2} (x) x d x

y^{^{'}} = - a y + b

tangent f(x)=2x^2+x-1,\at x=-2

t an g e n t f (x) = 2 x^{2} + x - 1, at x = - 2

derivative of xe^{(-(x^2/8)})

\frac{d}{d x} (x e^{(- \frac{x ^{2}}{8})})