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Popular >

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

Solution

extreme points

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

Solution

Saddle (5, 4)

Solution steps

f^{'} (x) = - 5 x^{4} + 100 x^{3} - 750 x^{2} + 2500 x - 3125

Find intervals:

Decreasing

: - \infty < x < 5,

Decreasing

: 5 < x < \infty

Plug

x = 5

into

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

Saddle (5, 4)

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Frequently Asked Questions (FAQ)

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