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

The extreme f(x)=2x^5+5x^4 is Maximum(-2,16),Minimum(0,0)

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

extreme points

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

Maximum (- 2, 16), Minimum (0, 0)

Solution steps

f^{'} (x) = 10 x^{4} + 20 x^{3}

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 0,

Increasing

: 0 < x < \infty

Plug

x = - 2

into

2 x^{5} + 5 x^{4} : 16

Maximum (- 2, 16)

Plug

x = 0

into

2 x^{5} + 5 x^{4} : 0

Minimum (0, 0)

Maximum (- 2, 16), Minimum (0, 0)

What is the extreme f(x)=2x^5+5x^4 ?
The extreme f(x)=2x^5+5x^4 is Maximum(-2,16),Minimum(0,0)