What is the extreme f(x)=14x^2-7x^4 ?

The extreme f(x)=14x^2-7x^4 is Maximum(-1,7),Minimum(0,0),Maximum(1,7)

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extreme f(x)=14x^2-7x^4

extreme points

f (x) = 14 x^{2} - 7 x^{4}

Maximum (- 1, 7), Minimum (0, 0), Maximum (1, 7)

Solution steps

f^{'} (x) = 28 x - 28 x^{3}

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 0,

Increasing

: 0 < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = - 1

into

14 x^{2} - 7 x^{4} : 7

Maximum (- 1, 7)

Plug

x = 0

into

14 x^{2} - 7 x^{4} : 0

Minimum (0, 0)

Plug

x = 1

into

14 x^{2} - 7 x^{4} : 7

Maximum (1, 7)

Maximum (- 1, 7), Minimum (0, 0), Maximum (1, 7)

What is the extreme f(x)=14x^2-7x^4 ?
The extreme f(x)=14x^2-7x^4 is Maximum(-1,7),Minimum(0,0),Maximum(1,7)