What is the extreme f(x)=2x^3-36x^2+210x-15 ?

The extreme f(x)=2x^3-36x^2+210x-15 is Maximum(5,385),Minimum(7,377)

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extreme f(x)=2x^3-36x^2+210x-15

extreme

Maximum (5, 385), Minimum (7, 377)

Solution steps

f^{'} (x) = 6 x^{2} - 72 x + 210

Find intervals:

Increasing

: - \infty < x < 5,

Decreasing

: 5 < x < 7,

Increasing

: 7 < x < \infty

Plug

x = 5

into

2 x^{3} - 36 x^{2} + 210 x - 15 : 385

Maximum (5, 385)

Plug

x = 7

into

2 x^{3} - 36 x^{2} + 210 x - 15 : 377

Minimum (7, 377)

Maximum (5, 385), Minimum (7, 377)

What is the extreme f(x)=2x^3-36x^2+210x-15 ?
The extreme f(x)=2x^3-36x^2+210x-15 is Maximum(5,385),Minimum(7,377)