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Beliebt Rechnen >

derivative e^{x^x}

Lösung

ableitung von

e^{x^{x}}

Lösung

e^{x^{x}} x^{x} (ln (x) + 1)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= e^{x^{x}} x^{x} (ln (x) + 1)

Graph

Beliebte Beispiele

integral of (5x^2)/((3+x^3)^2)

\int \frac{5 x ^{2}}{( 3 + x ^{3} ) ^{2}} d x

(\partial)/(\partial y)(((x-y))/((x+y)))

\frac{\partial}{\partial y} (\frac{( x - y )}{( x + y )})

y^'=4y^2+xy^2,y(0)=1

y^{^{'}} = 4 y^{2} + x y^{2}, y (0) = 1

derivative of (sin(3x)/(7x))

\frac{d}{d x} (\frac{sin ( 3 x )}{7 x})

derivative of 1/(x^2-1/x)

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