What is the extreme f(x)=2x^3-27x^2+84x+11 ?

The extreme f(x)=2x^3-27x^2+84x+11 is Maximum(2,87),Minimum(7,-38)

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extreme f(x)=2x^3-27x^2+84x+11

extreme

Maximum (2, 87), Minimum (7, - 38)

Solution steps

f^{'} (x) = 6 x^{2} - 54 x + 84

Find intervals:

Increasing

: - \infty < x < 2,

Decreasing

: 2 < x < 7,

Increasing

: 7 < x < \infty

Plug

x = 2

into

2 x^{3} - 27 x^{2} + 84 x + 11 : 87

Maximum (2, 87)

Plug

x = 7

into

2 x^{3} - 27 x^{2} + 84 x + 11 : - 38

Minimum (7, - 38)

Maximum (2, 87), Minimum (7, - 38)

What is the extreme f(x)=2x^3-27x^2+84x+11 ?
The extreme f(x)=2x^3-27x^2+84x+11 is Maximum(2,87),Minimum(7,-38)