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Beliebt Rechnen >

derivative of y=ln(e^x)

Lösung

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

Lösung

y = \frac{x ^{2}}{2} + c_{1}

Schritte zur Lösung

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

Wenn

f^{^{'}} (x) = g (x)

dann

f (x) = \int g (x) d x

y = \int ln (e^{x}) d x

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

y = \frac{x ^{2}}{2} + c_{1}

Graph

Beliebte Beispiele

integral sec(x)

in t e g r a l sec (x)

integral sin^2(x)

in t e g r a l sin^{2} (x)

derivative of y=log_{2}(x)

\frac{d}{d x} y = lo g_{2} (x)

derivative derivative of ln(1/x)

d er i v a t i v e \frac{d}{d x} (ln (\frac{1}{x}))

austauschverfahren integral of (((x^3))/((x^4-5))),u=x^4-5

s u b s t i t u t i o n \int (\frac{( x ^{3} )}{( x ^{4} - 5 )}) d x, u = x^{4} - 5