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Beliebt Funktionen >

extreme p(x)=e^{x-3}+e^{-x}

Lösung

extrempunkte

p (x) = e^{x - 3} + e^{- x}

Lösung

Minimum (\frac{3}{2}, \frac{2}{e ^{\frac{3}{2}}})

Schritte zur Lösung

f^{'} (x) = e^{x - 3} - e^{- x}

Intervalle finden:

Absteigend

: - \infty < x < \frac{3}{2},

Ansteigend

: \frac{3}{2} < x < \infty

Stecke

x = \frac{3}{2}

in

e^{x - 3} + e^{- x} : \frac{2}{e ^{\frac{3}{2}}}

Minimum (\frac{3}{2}, \frac{2}{e ^{\frac{3}{2}}})

Graph

Beliebte Beispiele

extreme f(x,y)=-11*y^2+(x+16)^2+1

e x t re m e f (x, y) = - 11 \cdot y^{2} + (x + 16)^{2} + 1

extreme x^3-6x^2+8

e x t re m e x^{3} - 6 x^{2} + 8

extreme f(x)=(x-5)/(x^2-6x+9)

e x t re m e f (x) = \frac{x - 5}{x ^{2} - 6 x + 9}

extreme f(x)=xsqrt(x^2+4)

e x t re m e f (x) = x x^{2} + 4

extreme f(x,y)=sqrt(4+2x-4y-x^2-y^2)

e x t re m e f (x, y) = 4 + 2 x - 4 y - x^{2} - y^{2}