What is the extreme f(x)=2x^3-30x^2+126x-3 ?

The extreme f(x)=2x^3-30x^2+126x-3 is Maximum(3,159),Minimum(7,95)

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extreme f(x)=2x^3-30x^2+126x-3

extreme

Maximum (3, 159), Minimum (7, 95)

Solution steps

f^{'} (x) = 6 x^{2} - 60 x + 126

Find intervals:

Increasing

: - \infty < x < 3,

Decreasing

: 3 < x < 7,

Increasing

: 7 < x < \infty

Plug

x = 3

into

2 x^{3} - 30 x^{2} + 126 x - 3 : 159

Maximum (3, 159)

Plug

x = 7

into

2 x^{3} - 30 x^{2} + 126 x - 3 : 95

Minimum (7, 95)

Maximum (3, 159), Minimum (7, 95)

What is the extreme f(x)=2x^3-30x^2+126x-3 ?
The extreme f(x)=2x^3-30x^2+126x-3 is Maximum(3,159),Minimum(7,95)