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Popular >

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

Solution

extreme points

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

Solution

Maximum (4, 2)

Solution steps

f^{'} (x) = - 20 x^{3} + 240 x^{2} - 960 x + 1280

Find intervals:

Increasing

: - \infty < x < 4,

Decreasing

: 4 < x < \infty

Plug

x = 4

into

- 5 (x - 4)^{4} + 2 : 2

Maximum (4, 2)

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Frequently Asked Questions (FAQ)

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