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Beliebt Funktionen >

extreme f(x)= 7/4 x^2-21/2 x-43/3

Lösung

extrempunkte

f (x) = \frac{7}{4} x^{2} - \frac{21}{2} x - \frac{43}{3}

Lösung

Minimum (3, - \frac{361}{12})

Schritte zur Lösung

f^{'} (x) = \frac{7 x - 21}{2}

Intervalle finden:

Absteigend

: - \infty < x < 3,

Ansteigend

: 3 < x < \infty

Stecke

x = 3

in

\frac{7}{4} x^{2} - \frac{21}{2} x - \frac{43}{3} : - \frac{361}{12}

Minimum (3, - \frac{361}{12})

Graph

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