What is the extreme f(x)=2x^3-15x^2-30 ?

The extreme f(x)=2x^3-15x^2-30 is Maximum(0,-30),Minimum(5,-155)

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extreme f(x)=2x^3-15x^2-30

extreme

Maximum (0, - 30), Minimum (5, - 155)

Solution steps

f^{'} (x) = 6 x^{2} - 30 x

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 5,

Increasing

: 5 < x < \infty

Plug

x = 0

into

2 x^{3} - 15 x^{2} - 30 : - 30

Maximum (0, - 30)

Plug

x = 5

into

2 x^{3} - 15 x^{2} - 30 : - 155

Minimum (5, - 155)

Maximum (0, - 30), Minimum (5, - 155)

What is the extreme f(x)=2x^3-15x^2-30 ?
The extreme f(x)=2x^3-15x^2-30 is Maximum(0,-30),Minimum(5,-155)