What is the extreme f(x)=4x^5-10x^4+2 ?

The extreme f(x)=4x^5-10x^4+2 is Maximum(0,2),Minimum(2,-30)

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extreme f(x)=4x^5-10x^4+2

extreme points

f (x) = 4 x^{5} - 10 x^{4} + 2

Maximum (0, 2), Minimum (2, - 30)

Solution steps

f^{'} (x) = 20 x^{4} - 40 x^{3}

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = 0

into

4 x^{5} - 10 x^{4} + 2 : 2

Maximum (0, 2)

Plug

x = 2

into

4 x^{5} - 10 x^{4} + 2 : - 30

Minimum (2, - 30)

Maximum (0, 2), Minimum (2, - 30)

What is the extreme f(x)=4x^5-10x^4+2 ?
The extreme f(x)=4x^5-10x^4+2 is Maximum(0,2),Minimum(2,-30)